7/29/2019 Transformations Homework

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TRANSFORMATIONS GRADED HOMEWORK

Name: Period: Due date:

For Questions 1-4: Match each of the following functions to its graph.

1. y= x+ ______

2. y= x ______

3. y= x ______

4. y=2 ______

A. B.

C. D.

5. Given the function f(x) = x2, write the function whose graph off(x) is:

a. shifted 6 units to the left __________________

b. reflected about the y-axis __________________

c. reflected about the x-axis __________________

d. shifted 5 units up __________________

e. vertically stretched by a factor of 4 __________________

f. horizontally stretched (compressed) by a factor of 1/3 __________________

7/29/2019 Transformations Homework

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TRANSFORMATIONS GRADED HOMEWORK

6. Given the function f(x) = 1/x, write the function whose graph off(x) is:

a. shifted 6 units to the left __________________

b. reflected about the y-axis __________________

c. reflected about the x-axis __________________

d. shifted 5 units up __________________

e. vertically stretched by a factor of 4 __________________

f. horizontally stretched (compressed) by a factor of 1/3 __________________

7. Write a function that is obtained after the following transformations are applied to y = |x|.

a. shift 2 units up, reflect about the x-axisthen about the y-axis.

_______________________________

b. reflect over the x-axis, shift 3 units leftand 2 units up.

________________________________

8. Consider the following function f(x):

a.

Graph f(x 3)

b. Graph f(x) c. Graphf(x)

f(x)