write an equation of the parabola that models the cross section of the mirror. Assume that the parabola opens upward. Find the vertex, focus, and the directrix

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 5 inches from the vertex of the mirror

Answer 1

Hi Alliayiah,

The simplest equation for a parabola that opens up is y=x² . The formula for the focus of a parabola that opens up (and has a vertex at the orgin) is 4*f*y=x² where f is the focus. So the equation has to have the stuff in front of y be equal to 4f and f will be the focus. So for us, since we already know the focus in 5inches the equation will be. 4*(5)*y=x² .

20 y=x²