Asked by Alto saxaphone
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-intercepts remain the same because the y-values get negated during a reflection over the x-axis.
This function does not have any x-intercepts, so no changes are necessary.
The x-intercepts become negated.
The x-values and y-values switch.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: The x-intercepts remain the same (choice 1).
Explanation: x-intercepts occur where y = 0. Reflecting over the x-axis replaces y by −y, and −0 = 0, so points with y = 0 stay unchanged. For y = x^2 − 25 the intercepts are x = ±5, and after reflection y = −x^2 + 25 they are still x = ±5.
Explanation: x-intercepts occur where y = 0. Reflecting over the x-axis replaces y by −y, and −0 = 0, so points with y = 0 stay unchanged. For y = x^2 − 25 the intercepts are x = ±5, and after reflection y = −x^2 + 25 they are still x = ±5.
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