Question

what is an equation of the parabola with the vertex at the origin and focus (0,0.75)

Answer 1

Requied equation is (x - 0)^2 = 4p(y - 0)
x^2 = 4py
But 0 + p = 0.75 => p = 0.75

Therefore, equation is x^2 = 4(0.75)y
x^2 = 3y
y = 1/3 x^2