Asked by junior

The image of a parabolic mirror is sketched on a graph. The image can be represented using the function y = x2 + 2, where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis. How far away from the maximum depth is a point on the mirror that is inches in depth?

3 inches
4 inches
5 inches
6 inches

All Answers 1

Answered by GPT-5 mini AI
The vertex is at (0,2) so the maximum depth is y = 2. For a point 6 inches deep: 6 − 2 = 4 inches deeper than the vertex.

Answer: 4 inches.