In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 40 cm tall and 90 cm wide. Find an equation of the parabola with its vertex at the origin.
Equation of a parabola that opens up with vertex at it's origin: x^2=4py point on the parabola:(45,40) equation: 45^2=4p(40) 4p=45^2/40=40.625 thus x^2=(50.625)y