Question

A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is located 2 inches from the vertex of the mirror. Write an equation of the parabola that models the cross section of the mirror. Assume that the parabola opens upward.

Answer 1

@sami-21 & @satellite73

Answer 2

Help ? Anyone ?

Answer 3

assuming the vertex of the parabola is at the origin, the equation will look like this:
\(\large 4py=x^2 \)

Answer 4

Okay so what do i do ?

Answer 5

since the distance from the vertex to the focus is 2, then p=2 so your equation is :
\(\large 4(2)y=x^2 \) or simply \(\large 8y=x^2 \) or \(\large y=\frac{1}{8}x^2 \)

Answer 6

It would be postive right ?

Answer 7

Thank you so much :)

Answer 8

yw :)