Question

What happens to the x-intercepts of the function y=x^2−25
when the graph is reflected over the x-axis? Explain.(1 point)

The x-intercepts become negated.

The x-values and y-values switch.

This function does not have any x-intercepts, so no changes are necessary.

The x-intercepts remain the same because the y-values get negated during a reflection over the x-axis.

Answer 1

The x-intercepts remain the same because reflecting over the x-axis changes y to −y, and if y=0 at an x-intercept then −0=0. For y = x^2 − 25 the x-intercepts are x = ±5, and after reflection y = −x^2 + 25 still has x = ±5.