Reflections and Dilations of Absolute Value Functions — Quiz
Question 9 • Mathematics II
Which absolute value function, when graphed, represents the parent function, f of x is equal to absolute value of x , reflected over the x -axis?
Answer
A
f of x is equal to start absolute value x minus 1 end absolute value
B
f of x is equal to absolute value of x plus 1
C
f of x is equal to absolute value of negative x
D
f of x is equal to negative absolute value of x
Explanation
Reflecting a graph over the x-axis changes every output y to its opposite, so the function becomes f(x) = -|x|. This makes the parent graph open downward instead of upward. Choice D, f(x) = negative absolute value of x, is the reflected function.
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