Unit 3.2 - Function Transformations

1.) Describe the transformation that occurred

p(x) = f(x + 3)

2.) Describe the transformation that occurred.

h(x) = f(x) + 2

3.) Describe the transformation that occurred.

w(x) = f(x - 7)

4.) What are the transformations?
y=(x-2)³+4

5.) Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = x + 4; horizontal translation 3 units left

6.) Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |2x − 5| + 3; vertical translation 2 units up

7.) What type of transformation is y =1/2 f(x)?

8.) What type of transformation is y = 2f(x)?

9.) What type of transformation is y = f(1/2 x)?

10.) What type of transformation is y =f(2x)?

Which solid function below is a REFLECTION of the the dotted function?

15.) The green line represents the function

$$y\ =\ x^2$$
What function is represented by the blue line?

16.) Function g(x) is reflected with the following transformation:

g(-x)

Does the graph reflect across the x or y axis?

17.) Function h(x) transforms f(x) with the following transformation:

h(x) = -f(x)

Does the graph reflect across the x or y axis?

18.) The dotted line is f(x). The solid line is g(x). Fill in the blank:

g(x) = _____