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

Hi Alliayiah,

The simplest equation for a parabola that opens up is y=x^{2 }. The formula for the focus of a parabola that opens up (and has a vertex at the orgin) is 4*f*y=x^{2 }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=x^{2
}.

20 y=x^{2}