Question

A rectangle is inscribed between the x-axis and the parabola y=9-x^2 with one side along the x-axis. One side in touchin the x- axis and the opposite two vertices touch the parabola.

A) Suppose the point (2,5) is the vertex of the rectangle on the original parabola. Use this point to verify your equations from parts a) and b).

I don't really get how I can do that.
Part a) asked for the equation for the area of rectangle- i got -2x^3+18x. Part b) asked for the equation after a horizontal stretch by a factor of 4- I got the y=2x*(-(1/4x)^2+9).

Related Questions

Here I am again stuck with another geometry type question. Here goes: A rectangle is inscribed be... A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9–x2. W... A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y= 12 - x... rectangle is inscribed between the x-axis and the parabola y=16-x^2 wiht one side along the x-axis a...