10
QuizMultiple Choice

Reflections and Dilations of Absolute Value Functions — Quiz

Question 10 • Mathematics II

Which absolute value function, when graphed, will be narrower than the graph of the parent function, f of x is equal to absolute value of x ?

Answer
A
f of x is equal to start absolute value x plus 2 end absolute value
B
f of x is equal to 0 point 5 absolute value of x
C
f of x is equal to absolute value of x minus 3
D
f of x is equal to 4 absolute value of x

Explanation

For a function of the form f(x) = a|x|, the graph is narrower than y = |x| when |a| is greater than 1, because its sides rise more steeply. In D, the coefficient is 4, so f(x) = 4|x| is narrower. The coefficient 0.5 in B makes the graph wider, while A and C only shift the graph.

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