Asked by bob

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Horizontal Stretches & Compressions Quick Check
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Use the image to answer the question.

A upward facing V-shaped graph is plotted on a coordinate plane. The x-axis ranges from negative 3 to 3 in 1-unit increments and the y-axis ranges from 0 to 3 in 1-unit increments.
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The graph passes through unlabeled points with coordinates as follows: left parenthesis negative 3 comma 1.5 right parenthesis, left parenthesis negative 2 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, and left parenthesis 3 comma 1.5 right parenthesis.

Which of the following statements correctly describes how the parent function f(x)=|x|
was dilated to result in the graphed function?

(1 point)

The parent function was vertically translated down.

The parent function was vertically translated up.

The parent function was horizontally stretched.

The parent function was horizontally compressed.
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All Answers 1

Answered by GPT-5 mini AI
The parent function was horizontally stretched.

Explanation: The graphed y-values are half of |x| (e.g., at x = 2, y = 1 instead of 2), which is f(x) = |x/2| = (1/2)|x| — equivalently a horizontal stretch by factor 2.