Download - Transformations Homework
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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 __________________
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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)