Transformations of Functions

Question 1

Determine the parent function.

Revolt · Accepted Answer

B: mc001-2.jpg

Question 2

y = (x – 4)³ – 2✔ y = (x + 4)³ – 2y = (x + 2)³ – 4y = (x – 2)³ – 4

Revolt · Accepted Answer

B: y = (x + 4)³ – 2

Question 3

g(x) is reflected about the y-axis. g(x) is reflected about the y-axis and shifted up by 4 units. g(x) is reflected about the x-axis. g(x) is reflected about the x-axis and shifted up by 4 units.

Revolt · Accepted Answer

C: g(x) is reflected about the x-axis.

Question 4

What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.

Revolt · Accepted Answer

A: translation; B: reflection; C: dilation

Question 5

Which of the following is a vertical stretch of the parent function ?

Revolt · Accepted Answer

A: mc001-2.jpg

Question 6

Given the parent function , which of the following is true about this graph?

Revolt · Accepted Answer

B: The parent function was reflected.; C: The parent function was dilated.

Question 7

Look at the graph of the functions. Given the original function, , what is a possible equation for the translated function, g(x)?

Revolt · Accepted Answer

C: mc001-4.jpg

Question 8

Identify the equation of the function.

Revolt · Accepted Answer

A: mc002-1.jpg

Question 9

Identify the graph.

Revolt · Accepted Answer

D: mc001-4.jpg

Question 10

Describe the transformation f(x) = √x + 1 − 5 in words.

Revolt · Accepted Answer

: left; : down

Transformations of Functions Answers

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