Question

What happens to the x-intercepts of the function y=x2−25
when the graph is reflected over the x-axis? Explain.(1 point)

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.

The x-intercepts become negated.

Answer 1

The x-intercepts remain the same. Reflection over the x-axis sends (x,y) to (x,−y); points with y = 0 stay (x,0). Here the intercepts are (−5,0) and (5,0), which do not change.