Question

In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.

Answer 1

you have the vefrtex at (0,90) and the roots at (±45,0)
so the equation is
y = 50 - 50(x/45)^2