75813
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Absolute Value Functions and Translations

Question 75813 • FL-1200310-Algebra 1 A

Which phrases describe the graph of f(x) = |x| ? Check all that apply.

Answer
A
V-shaped
B
U-shaped
C
opens up
D
opens down
E
symmetric with respect to the x-axis
F
symmetric with respect to the y-axis

Explanation

The graph of f(x) = |x| consists of two straight rays meeting at the origin, making a V shape that opens upward. Also, f(-x) = |-x| = |x|, so the graph is symmetric with respect to the y-axis. It is not U-shaped or symmetric with respect to the x-axis.

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