AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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1
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Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

A
It is wider and shifted 3 units to the left.
B
It is wider and shifted 3 units to the right.
C
It is narrower and shifted 3 units to the left.
D
It is narrower and shifted 3 units to the right.
2
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Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.f(x) = |x|f(x) = |x – 2|f(x) = |x| + 3f(x) = 2.9|x|f(x) = 1.2|x + 8|f(x) = 0.7|x| – 3.2

Question illustration
A
f(x) = |x|
Option A
B
f(x) = |x – 2|
C
f(x) = |x| + 3
D
f(x) = 2.9|x|
E
f(x) = 1.2|x + 8|
F
f(x) = 0.7|x| – 3.2
3

Which graph represents the function f(x) = 2|x|?

A
Option
B
Option
C
Option
D
Option
4

Which is the equation of the function?f(x) = 3|x| + 1f(x) = 3|x – 1|f(x) = |x| + 1f(x) = |x – 1|

A
f(x) = 3|x| + 1
B
f(x) = 3|x – 1|
C
f(x) = |x| + 1
D
f(x) = |x – 1|
5

Which function is represented by the graph?|–x + 3|–|x + 3|–|x| + 3|–x| + 3

A
|–x + 3|
B
–|x + 3|
C
–|x| + 3
D
|–x| + 3

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