 # Algebra Equations And Transforming Functions Exercise Help Anonymous
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### Question Description

I am working on Alg2 Transforming Functions an I have this study guide that I need help with so that I can understand how to do the computations for my test. Can you please show your work on each questions, thank you in advance for great help.

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Please Be sure to show all work, so that I can use this to study. 1. Show that the function is the inverse of F(x) = 2x – 3. Step 1: The function notation F(x) can be written as a variable in an equation. Is that variable x or y? Write F(x) = 2x – 3 as an equation with your chosen variable. Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. Step 3: Show that is the inverse of F(x) = 2x – 3. Write your answer in inverse notation. 2. Graph the inverse of the function, then determine if the inverse is a function. Part I: The graph of F(x) is shown below. On the same grid, draw the graph of the inverse of F(x). Part II: Is the inverse a function? Explain your answer. 3. Suppose and Part I: The graph of F(x) is shown below. On the same grid, draw the graph of G(x). Part II: Describe how the graph of G(x) relates to the graph of F(x). 4. Draw lines to match each pair of functions to the phrase that best describes the difference between F(x) and G(x). Functions F(x) and G(x) Difference between F(x) and G(x) 1. Vertical compression A. 2. Vertical shift of 5 units up B. 3. Vertical stretch C. 4. Shift to the right of 5 units D. 5. The graph of F(x), shown below, resembles the graph of , but it has been flipped over the xaxis,stretched vertically by a factor of 3, shifted down 4 units, and left 1 unit. Part I: Write the equation of F(x). Part II: Explain how you arrived at the equation from Part I. 6. The graph of F(x) is shown below. Suppose G(x) has the same shape as the graph of F(x), but is shifted down 3 units and left 2 units. Part I: Draw the graph of G(x) on the same grid as F(x). Part II: Explain how you arrived at the graph from Part I. 7. Roger has the graph of F(x) = −4x2 but needs to sketch the graph of Roger can use the graph of F(x) to sketch the graph of G(x). . Describe how ...
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achiaovintel
School: UCLA   Hello, I have successfully completed the paper. Kindly go through it and let me know in case you have any question.Thank you

Transformation outline paper
Questions done
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Attached.

1

Transformation
Name
Institution
Date

TRANSFORMATION

2

Question 1
Show that the function 𝐺 (𝑥 ) =

𝑥+3
2

is the inverse of F(x) = 2x – 3.

Step 1: The function notation F(x) can be written as a variable in an equation. Is that
variable x or y?
F(x) is variable y
Write F(x) = 2x – 3 as an equation with your chosen variable.
Solution
y = 2x − 3
Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work.
Solution
x = 2y − 3

interchanging x with y

𝑥 + 3 = 2𝑦
𝐀𝐧𝐬�...

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