Question

The image of a parabolic mirror is sketched on a graph. The image can be represented using the function y = 1/8x2 + 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 7/8 inches in depth?
3 inches
4 inches
5 inches
6 inch

Answer 1

Three inches deep#!!!

Answer 2

Answer:

3 inches depth

Step-by-step explanation:

Given the equation of the parabola is

y = $\frac{1}{8}\times x^{2}+2$

where x represents the horizontal distance from the maximum depth and y represents the depth of the mirror as measured from the x axis.

                     We need to find the distance from the center of the parabola which is 7/8 inches in depth from the mirror. Therefore substituting the value of x as 7/8 inches in the above equation, we can get the value of y.

∴y = $\frac{1}{8}\times \left ( \frac{7}{8} \right )^{2}+2$

y = $\frac{1}{8}\times \left ( \frac{49}{64} \right )+2$

y = 0.09+2

y = 2.09

y = 3 inches (approx )