Question

Write an equation of the parabola with focus (0,−32) and vertex at the origin. Use x for the independent variable.

Answer 1

Therefore the equation of parabola is

x²=-128 y

Explanation:

Given ,coordinate vertex of the parabola is (0,0) and coordinate focus is (0,-32)

Therefore the distance between vertex and focus is
`√((0-0)^2+(0+32)^2)`

= 32

Therefore the equation of parabola is

x²= -(4×32)y

⇒x²=-128 y