Question

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 horizontally compressed.

The parent function was horizontally stretched.

The parent function was vertically translated down.

The parent function was vertically translated up.

Answer 1

Horizontally stretched.

Reason: The graph is y = |x/2| = (1/2)|x|, so x-values are stretched by factor 2 (which produces the observed y-values 1 at x=2 and 1.5 at x=3).