Transformations of exponential functions worksheet pdf Warren

Transformations of exponential functions worksheet pdf

Graphing Exponential Functions Answer Key Algebra 2 PDF Graphing Exponential Functions What is an Exponential Function? Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay. Expon ential function are also used in finance, so if you have a credit card, bank account, car loan, or home loan it is important to understand

Name Graphing Exponential Equations Date Check-In Worksheet

Ninth grade Lesson Transforming Exponential Functions. Some of the worksheets displayed are Graphical transformations of functions, Transformations of graphs date period, Transformations of functions name date, Graph the image of the figure using the transformation, Transformations of exponential functions work, Transformation, Algebra ii, Homework: pg 212 # 1-4(ac), 7ac, 8ac pg 221 # 1 - 3, 4 - 9(ac), 11ac, 13gh.

Graphing Exponential Functions What is an Exponential Function? Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay. Expon ential function are also used in finance, so if you have a credit card, bank account, car loan, or home loan it is important to understand 14. A cup of green tea contains 35 milligrams of caffeine. The average teen can eliminate approximately 12.5% of the caffeine from their system per hour.

Exponential Transformations Worksheet 4) Write the equation for the function that results from each transformation applied to the base function (𝑓 )=(13) 𝑥 a) reflect in the x- axis (vertical reflection) b) stretch vertically by a factor of 3 c) stretch horizontally by a factor … Graphing Exponential Functions Answer Key Algebra 2 Download or Read Online eBook graphing exponential functions answer key algebra 2 in PDF Format From The Best User Guide Database led us to introduce them in the algebra and functions strand ahead of the more To use exponential rules and graphing calculators or computer software to .

11.06.2017В В· Power Point presentation, 12 slides, Explaining how to Sketch translations, reflections and stretches of exponential function, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.goo... Name_____ Graphing Exponential Equations Date_____ Check-In Worksheet Graph the following exponential functions. Identify if it is an exponential growth function or an exponential decay function.

About This Quiz & Worksheet. Test your ability to identify what kind of shift takes place with various exponential functions. The practice problems assess your understanding of transformations 6.50 Exponential Transformations.notebook 1 May 23, 2018 Nov 4В­10:28 AM Transformations of Exponential Functions Mar 19В­7:45 AM Warm Up In groups of 2 (and one group of 3) complete both sides of one of the transformations sheets.

Transformation Of Functions. Displaying all worksheets related to - Transformation Of Functions. Worksheets are Transformations of graphs date period, Graphical transformations of functions, Transformation of functions work, Graph the image of the figure using the transformation, Transformations of functions name date, Transformations of exponential functions work, Exponential … • evaluate exponential functions • graph exponential functions • use transformations to graph exponential functions • use compound interest formulas An exponential function f with base b is defined by f ( or x) = bx y = bx, where b > 0, b ≠ 1, and x is any real number. Note: Any transformation of y = bx is also an exponential function.

Microsoft Word - 3.5 transformations of exponential functions lesson student.docx Author: Trevor Jensen Created Date: 8/27/2014 7:09:41 PM В­ Transform exponential and logarithmic functions by changing parameters В­ Describe the effects of changes in the coefficients of exponential and logarithmic functions Who uses this? Psychologists can use transformations of exponential functions to describe knowledge retention rates over time.

About This Quiz & Worksheet. Test your ability to identify what kind of shift takes place with various exponential functions. The practice problems assess your understanding of transformations Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function [latex]f\left(x\right)={b}^{x}[/latex] without loss of shape.

Transformation Of Functions. Displaying all worksheets related to - Transformation Of Functions. Worksheets are Transformations of graphs date period, Graphical transformations of functions, Transformation of functions work, Graph the image of the figure using the transformation, Transformations of functions name date, Transformations of exponential functions work, Exponential … Created Date: 10/17/2014 1:55:58 PM

7.2 Transformations of Exponential Functions Write the equation of the exponential function y 3x after it has undergone each of the following transformations: Transformation Equation Reflection in the y-axis Vertical expansion by 2, and a reflection in the x-axis Translation 3 units up 14. A cup of green tea contains 35 milligrams of caffeine. The average teen can eliminate approximately 12.5% of the caffeine from their system per hour.

Worksheet 3 Graphing exponential functions g(x) =- Hour Identify each transformation from the parent function of Tell if the function is a decay or growth function. 2. 3. 5. 6. î g(x) = +5 - +2 Write the function for each graph described below. 7. the graph of (x) = 2x, reflected across the x axis. 8. The graph of f(x)=ã , translated up 5 Unit 3 - Lesson 3 Time Frame Unit Name MM3A2 Exponential Functions Use the PowerPoint and worksheet “Graph the Exponential Function” to guide the lesson. Explain how to find the graph the exponential function. Then, discuss how to find the domain and range, intercepts, and intervals of increase and decrease. Use the attached worksheets titled “Transformations of Exponential Functions

- Lesson 3 ciclt.net

Transformations of exponential functions worksheet pdf

4 1 Exponential Functions and Their Graphs. Transformations! We are going to learn the tips and tricks for Graphing Exponential Functions using Transformations, that makes these graphs fun and easy to draw. We begin by noticing that all of the graphs have a Horizontal Asymptote, and finding its location is the first step., Graphing Exponential Functions What is an Exponential Function? Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay. Expon ential function are also used in finance, so if you have a credit card, bank account, car loan, or home loan it is important to understand.

Transformations Of Exponential Functions Pdf

Transformations of exponential functions worksheet pdf

Transformations Of Exponential Functions Pdf. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function [latex]f\left(x\right)={b}^{x}[/latex] without loss of shape. Microsoft Word - 3.5 transformations of exponential functions lesson student.docx Author: Trevor Jensen Created Date: 8/27/2014 7:09:41 PM.

Transformations of exponential functions worksheet pdf


U3D1_S Functions Relations D & R. U3D1_T Functions Relations D _ R : U3D1_S Worksheet Functions Relations D & R. U3D1 Worksheet Solutions Functions Relations D & R: 2: 3.1. 3.2: Graphing and finding properties of the root function and the reciprocal function. U3D2_S Warmup D & R. U3D2_S Basic Grade 11 Graphs. U3D2_T Graphing the Reciprocal and 6.50 Exponential Transformations.notebook 1 May 23, 2018 Nov 4В­10:28 AM Transformations of Exponential Functions Mar 19В­7:45 AM Warm Up In groups of 2 (and one group of 3) complete both sides of one of the transformations sheets.

Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function [latex]f\left(x\right)={b}^{x}[/latex] without loss of shape. Worksheet 3 Graphing exponential functions g(x) =- Hour Identify each transformation from the parent function of Tell if the function is a decay or growth function. 2. 3. 5. 6. î g(x) = +5 - +2 Write the function for each graph described below. 7. the graph of (x) = 2x, reflected across the x axis. 8. The graph of f(x)=ã , translated up 5

• evaluate exponential functions • graph exponential functions • use transformations to graph exponential functions • use compound interest formulas An exponential function f with base b is defined by f ( or x) = bx y = bx, where b > 0, b ≠ 1, and x is any real number. Note: Any transformation of y = bx is also an exponential function. Graphing Exponential Functions What is an Exponential Function? Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay. Expon ential function are also used in finance, so if you have a credit card, bank account, car loan, or home loan it is important to understand

4)&Describe&the&transformations&that&map&the&function&!=8!&ontoeachfunction.& a)&!=! 8!&& & & & & b)&!=8! c)&!=в€’8!& & & & & & d)&!=8! 5)&Write&the&equation&for&the Transforming exponential graphs (example 2) Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization.

В­ Transform exponential and logarithmic functions by changing parameters В­ Describe the effects of changes in the coefficients of exponential and logarithmic functions Who uses this? Psychologists can use transformations of exponential functions to describe knowledge retention rates over time. В©C 0290x1 P2E lKku tZa D KSao cfKtZwIaErge4 QL6L8CF. o N OAYl4lE Cr2i vgeh etKs5 Jr 6e1s reMrSv OeRdo. D O iM Yawdve v ywyi2tuh M LI6n1fgi Anri DtRe H KAql tg Fe9b MrSan Y11. n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions Date_____ Period____

Unit 3b — Linear and Exponential Functions Date: Day 39 - Notes Transformations of Linear and Exponential Graphs Use your graphing calculator to graph the following. accurately sketch the graphs. Use the table feature to Graph the functions y = x + 2 and 2. 3. 4. 6. 9. Graph the function y = x. Created Date: 10/17/2014 1:55:58 PM

Here you will find all we have for Graphing Transformations Of Exponential Functions Worksheet. For instance there are many worksheet that you can print here, and if you want to preview the Graphing Transformations Of Exponential Functions Worksheet simply click the link or image and you will take to save page section. Graphing Transformations of Exponential Functions. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function \(f(x)=b^x\) without loss of shape. For instance

4)&Describe&the&transformations&that&map&the&function&!=8!&ontoeachfunction.& a)&!=! 8!&& & & & & b)&!=8! c)&!=в€’8!& & & & & & d)&!=8! 5)&Write&the&equation&for&the В©V O2u0 K1V38 QKxuqt OaU lSUo3fQtpwta mrheX gL 6LQCK.N H PA gl 0l r cr ni8gkhMtVs4 Zr veEs OeRrfvZerd y.G h 4Mja EdNem WwXidt nhY 7IQnYf wian Niot ReE qA cl zg DeDbMrNax D25.v-5-Worksheet by Kuta Software LLC Answers to 1_Graphing:Parent Functions and Transformations

Section 6.4 Transformations of Exponential and Logarithmic Functions 319 Translating a Natural Base Exponential Function Describe the transformation of f (x) = e x represented by g(x) = e x + 3 + 2. Then graph each function. SOLUTION Notice that the function is of the form U3D1_S Functions Relations D & R. U3D1_T Functions Relations D _ R : U3D1_S Worksheet Functions Relations D & R. U3D1 Worksheet Solutions Functions Relations D & R: 2: 3.1. 3.2: Graphing and finding properties of the root function and the reciprocal function. U3D2_S Warmup D & R. U3D2_S Basic Grade 11 Graphs. U3D2_T Graphing the Reciprocal and

Worksheet on Transformations of Exponential Functions Multiple Choice Identify the choice that best completes the statement or answers the question. В©C 0290x1 P2E lKku tZa D KSao cfKtZwIaErge4 QL6L8CF. o N OAYl4lE Cr2i vgeh etKs5 Jr 6e1s reMrSv OeRdo. D O iM Yawdve v ywyi2tuh M LI6n1fgi Anri DtRe H KAql tg Fe9b MrSan Y11. n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions Date_____ Period____

Microsoft Word - 3.5 transformations of exponential functions lesson student.docx Author: Trevor Jensen Created Date: 8/27/2014 7:09:41 PM 3.5 Transformations of Exponential Functions.pdf. 3.5 Transformations of Exponential Functions.pdf. Sign In. Whoops! There was a problem previewing 3.5 Transformations of Exponential Functions.pdf…

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Ninth grade Lesson Transforming Exponential Functions

Transformations of exponential functions worksheet pdf

Section 5 Transforming Exponential Functions and. В©C 0290x1 P2E lKku tZa D KSao cfKtZwIaErge4 QL6L8CF. o N OAYl4lE Cr2i vgeh etKs5 Jr 6e1s reMrSv OeRdo. D O iM Yawdve v ywyi2tuh M LI6n1fgi Anri DtRe H KAql tg Fe9b MrSan Y11. n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions Date_____ Period____, All exponential functions follow a basic graph. But when you make changes to the function, you will see the graph shift and make changes. Watch this video lesson to learn how to easily identify.

Graphing Exponential Functions.ks-ia2 Kuta Software LLC

7.2 Transformations of Exponential Functions. Section 6.4 Transformations of Exponential and Logarithmic Functions 319 Translating a Natural Base Exponential Function Describe the transformation of f (x) = e x represented by g(x) = e x + 3 + 2. Then graph each function. SOLUTION Notice that the function is of the form, Some of the worksheets displayed are Graphical transformations of functions, Transformations of graphs date period, Transformations of functions name date, Graph the image of the figure using the transformation, Transformations of exponential functions work, Transformation, Algebra ii.

Exponential Transformations Worksheet 4) Write the equation for the function that results from each transformation applied to the base function (𝑓 )=(13) 𝑥 a) reflect in the x- axis (vertical reflection) b) stretch vertically by a factor of 3 c) stretch horizontally by a factor … The purpose of this launch (transformations_of_exponential) is to help students develop a common language for describing the various transformations that they will be working with in the investigation.At first, I want students to describe each transformation in either plain or mathematical language (see transformations_movie.mov for view of animations).

Transformations of Exponential Functions - Worksheet. Graph each . set. of functions on the same axes by applying the appropriate transformations. a) b) Homework: pg 212 # 1-4(ac), 7ac, 8ac pg 221 # 1 - 3, 4 - 9(ac), 11ac, 13gh

The purpose of this launch (transformations_of_exponential) is to help students develop a common language for describing the various transformations that they will be working with in the investigation.At first, I want students to describe each transformation in either plain or mathematical language (see transformations_movie.mov for view of animations). 6.3 Exponential Functions. In this section, we will study the following topics: Evaluating exponential functions with base . b. Graphing exponential functions with base . b. MAT 204 SPRING 2009. So, in an exponential function, the variable is in theexponent. Exponential Functions. Which of the following are exponential functions?

В©V O2u0 K1V38 QKxuqt OaU lSUo3fQtpwta mrheX gL 6LQCK.N H PA gl 0l r cr ni8gkhMtVs4 Zr veEs OeRrfvZerd y.G h 4Mja EdNem WwXidt nhY 7IQnYf wian Niot ReE qA cl zg DeDbMrNax D25.v-5-Worksheet by Kuta Software LLC Answers to 1_Graphing:Parent Functions and Transformations В©V O2u0 K1V38 QKxuqt OaU lSUo3fQtpwta mrheX gL 6LQCK.N H PA gl 0l r cr ni8gkhMtVs4 Zr veEs OeRrfvZerd y.G h 4Mja EdNem WwXidt nhY 7IQnYf wian Niot ReE qA cl zg DeDbMrNax D25.v-5-Worksheet by Kuta Software LLC Answers to 1_Graphing:Parent Functions and Transformations

Homework: pg 212 # 1-4(ac), 7ac, 8ac pg 221 # 1 - 3, 4 - 9(ac), 11ac, 13gh 4)&Describe&the&transformations&that&map&the&function&!=8!&ontoeachfunction.& a)&!=! 8!&& & & & & b)&!=8! c)&!=в€’8!& & & & & & d)&!=8! 5)&Write&the&equation&for&the

Name_____ Graphing Exponential Equations Date_____ Check-In Worksheet Graph the following exponential functions. Identify if it is an exponential growth function or an exponential decay function. 6.3 Exponential Functions. In this section, we will study the following topics: Evaluating exponential functions with base . b. Graphing exponential functions with base . b. MAT 204 SPRING 2009. So, in an exponential function, the variable is in theexponent. Exponential Functions. Which of the following are exponential functions?

The purpose of this launch (transformations_of_exponential) is to help students develop a common language for describing the various transformations that they will be working with in the investigation.At first, I want students to describe each transformation in either plain or mathematical language (see transformations_movie.mov for view of animations). Graphing Transformations of Exponential Functions. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function \(f(x)=b^x\) without loss of shape. For instance

Here you will find all we have for Graphing Transformations Of Exponential Functions Worksheet. For instance there are many worksheet that you can print here, and if you want to preview the Graphing Transformations Of Exponential Functions Worksheet simply click the link or image and you will take to save page section. Graphing Transformations of Exponential Functions. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function \(f(x)=b^x\) without loss of shape. For instance

3.5 Transformations of Exponential Functions.pdf. 3.5 Transformations of Exponential Functions.pdf. Sign In. Whoops! There was a problem previewing 3.5 Transformations of Exponential Functions.pdf… 6.50 Exponential Transformations.notebook 1 May 23, 2018 Nov 4­10:28 AM Transformations of Exponential Functions Mar 19­7:45 AM Warm Up In groups of 2 (and one group of 3) complete both sides of one of the transformations sheets.

6.3 Exponential Functions. In this section, we will study the following topics: Evaluating exponential functions with base . b. Graphing exponential functions with base . b. MAT 204 SPRING 2009. So, in an exponential function, the variable is in theexponent. Exponential Functions. Which of the following are exponential functions? Transformations! We are going to learn the tips and tricks for Graphing Exponential Functions using Transformations, that makes these graphs fun and easy to draw. We begin by noticing that all of the graphs have a Horizontal Asymptote, and finding its location is the first step.

Unit 3 Transformations of Functions (Mrs. Behnke's Math

Transformations of exponential functions worksheet pdf

3.5 Transformations of Exponential Functions.pdf. Unit: Exponential Functions Date Homework Hour Graphing Exponential Functions Worksheet #2 Directions : Answer all questions. Show all work!!! Sketch the graph of each function. Then, state the Domain, Range, and Y-intercept, and change of Y-values of the function. 1. y =8•(12) x X Y -1 0 1, 26.02.2014 · From Thinkwell's College Algebra Chapter 6 Exponential and Logarithmic Functions, Subchapter 6.1 Exponential Functions..

3.5 transformations of exponential functions worksheet. Graphing Exponential Functions What is an Exponential Function? Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay. Expon ential function are also used in finance, so if you have a credit card, bank account, car loan, or home loan it is important to understand, Parent Functions and Transformations Reference Book This reference book was created to use as a review of transformations and the following function families: linear, absolute value, quadratic, cubic, square root, cube root, exponential, logarithmic, and reciprocal Students will graph the both t.

Ninth grade Lesson Transforming Exponential Functions

Transformations of exponential functions worksheet pdf

Graphing Exponential Functions. Homework: pg 212 # 1-4(ac), 7ac, 8ac pg 221 # 1 - 3, 4 - 9(ac), 11ac, 13gh Graphing Transformations of Exponential Functions. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function \(f(x)=b^x\) without loss of shape. For instance.

Transformations of exponential functions worksheet pdf


Section 6.4 Transformations of Exponential and Logarithmic Functions 319 Translating a Natural Base Exponential Function Describe the transformation of f (x) = e x represented by g(x) = e x + 3 + 2. Then graph each function. SOLUTION Notice that the function is of the form Transforming exponential graphs (example 2) Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization.

Transformations of Exponential Functions - Worksheet. Graph each . set. of functions on the same axes by applying the appropriate transformations. a) b) 11.06.2017В В· Power Point presentation, 12 slides, Explaining how to Sketch translations, reflections and stretches of exponential function, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.goo...

11.06.2017В В· Power Point presentation, 12 slides, Explaining how to Sketch translations, reflections and stretches of exponential function, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.goo... Worksheet on Transformations of Exponential Functions Multiple Choice Identify the choice that best completes the statement or answers the question.

Unit 3 - Lesson 3 Time Frame Unit Name MM3A2 Exponential Functions Use the PowerPoint and worksheet “Graph the Exponential Function” to guide the lesson. Explain how to find the graph the exponential function. Then, discuss how to find the domain and range, intercepts, and intervals of increase and decrease. Use the attached worksheets titled “Transformations of Exponential Functions 6.50 Exponential Transformations.notebook 1 May 23, 2018 Nov 4­10:28 AM Transformations of Exponential Functions Mar 19­7:45 AM Warm Up In groups of 2 (and one group of 3) complete both sides of one of the transformations sheets.

4)&Describe&the&transformations&that&map&the&function&!=8!&ontoeachfunction.& a)&!=! 8!&& & & & & b)&!=8! c)&!=−8!& & & & & & d)&!=8! 5)&Write&the&equation&for&the Graphing Transformations of Exponential Functions. Transformations of exponential graphs behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, reflections, stretches, and compressions—to the parent function \(f(x)=b^x\) without loss of shape. For instance

Transforming exponential graphs (example 2) Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. 16.09.2013В В· Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is

Homework: pg 212 # 1-4(ac), 7ac, 8ac pg 221 # 1 - 3, 4 - 9(ac), 11ac, 13gh The purpose of this launch (transformations_of_exponential) is to help students develop a common language for describing the various transformations that they will be working with in the investigation.At first, I want students to describe each transformation in either plain or mathematical language (see transformations_movie.mov for view of animations).

В­ Transform exponential and logarithmic functions by changing parameters В­ Describe the effects of changes in the coefficients of exponential and logarithmic functions Who uses this? Psychologists can use transformations of exponential functions to describe knowledge retention rates over time. В©V O2u0 K1V38 QKxuqt OaU lSUo3fQtpwta mrheX gL 6LQCK.N H PA gl 0l r cr ni8gkhMtVs4 Zr veEs OeRrfvZerd y.G h 4Mja EdNem WwXidt nhY 7IQnYf wian Niot ReE qA cl zg DeDbMrNax D25.v-5-Worksheet by Kuta Software LLC Answers to 1_Graphing:Parent Functions and Transformations

Microsoft Word - 3.5 transformations of exponential functions lesson student.docx Author: Trevor Jensen Created Date: 8/27/2014 7:09:41 PM Unit 3 - Lesson 3 Time Frame Unit Name MM3A2 Exponential Functions Use the PowerPoint and worksheet “Graph the Exponential Function” to guide the lesson. Explain how to find the graph the exponential function. Then, discuss how to find the domain and range, intercepts, and intervals of increase and decrease. Use the attached worksheets titled “Transformations of Exponential Functions

4.6 Transformations of Exponential Functions All exponential functions can be written in the form: f(x) = a(b)k(x –d) + c, where “b” is the base of the exponential equation, y = bx. Example One Determine the base function of following exponential functions and then determine the transformations of … 14. A cup of green tea contains 35 milligrams of caffeine. The average teen can eliminate approximately 12.5% of the caffeine from their system per hour.

Unit 3b — Linear and Exponential Functions Date: Day 39 - Notes Transformations of Linear and Exponential Graphs Use your graphing calculator to graph the following. accurately sketch the graphs. Use the table feature to Graph the functions y = x + 2 and 2. 3. 4. 6. 9. Graph the function y = x. Transformation Of Functions. Displaying all worksheets related to - Transformation Of Functions. Worksheets are Transformations of graphs date period, Graphical transformations of functions, Transformation of functions work, Graph the image of the figure using the transformation, Transformations of functions name date, Transformations of exponential functions work, Exponential …