Which of the following statements correctly describes how the parent function f(x)=|x| was dilated to result in the graphed function? The absolute value of x was multiplied by .5 (1 point) Responses The parent function was vertically translated down. The parent function was vertically translated down. The parent function was horizontally compressed. The parent function was horizontally compressed. The parent function was vertically translated up. The parent function was vertically translated up. The parent function was horizontally stretched.

1 answer

The statement that correctly describes the dilation of the parent function \( f(x) = |x| \) when the absolute value of \( x \) is multiplied by 0.5 is:

The parent function was vertically compressed.

When you multiply the function by a factor of less than 1 (like 0.5), it compresses the graph vertically, making it closer to the x-axis.