Question

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 inch

Answer 1

its not 6 i put that and got it wrong

Answer 2

The equation of the parabola is
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

We are asked to solve for the distance from the center of the parabola or simply the value of y given a value of x of 2 inches.

Substituting:
y = 2^2 + 2
y = 6 inches