Reflections and Dilations of Absolute Value Functions Answers

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1
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When 0 < a < 1, the graph the graph of the parent function.

A
does not change from
B
gets wider than
C
gets narrower than
2
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When a = 1, the graph the graph of the parent function.

A
does not change from
B
gets wider than
C
gets narrower than
3

When a > 1, the graph the graph of the parent function.

A
does not change from
B
gets wider than
C
gets narrower than
83112

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = a|x| is solid.

Answers:
When 0 < a < 1, the graph the graph of the parent function.:gets wider than
When a = 1, the graph the graph of the parent function.:does not change from
When a > 1, the graph the graph of the parent function.:gets narrower than
83114

The graph of f(x) = |x| is reflected across the x-axis and translated right 8 units. Which statement about the transformed function is correct?

A
The domain is the same as the parent function’s domain.
B
The graph opens in the same direction as the parent function.
C
The range is the same as the parent function’s range.
D
The vertex is the same as the parent function’s vertex.

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