Answers 26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Reflections and Dilations of Absolute Value Functions Answers

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f(x) = –|x| + 4

f(x) = –|x| – 4

f(x) = –|x + 4|

f(x) = –|x – 4|

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

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all real numbers

all real numbers less than or equal to −2

all real numbers less than or equal to 1

all real numbers greater than or equal to −2

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

Option

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f(x) = –|x| + 1

f(x) = –|x – 1|

f(x) = |–x| + 1

f(x) = |–x – 1|

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f(x) = |x| + 3

f(x) = |x − 6|

f(x) = |x|

f(x) = 9|x|

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f(x) = −|x − 3| + 4

f(x) = −|x + 3| + 4

f(x) = −|x − 4| + 3

f(x) = −|x + 4| + 3

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Both the domain and range of the transformed function are the same as those of the parent function.

Neither the domain nor the range of the transformed function are the same as those of the parent function.

The range of the transformed function is the same as the parent function, but the domains of the functions are different.

The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Which graph represents the function f(x) = –|x + 3|?

Option

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f(x) = |x| – 3

f(x) = |x + 2|

f(x) = 0.5|x|

f(x) = 4|x|

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Reflections and Dilations of Absolute Value Functions Answers

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