A parabola can be represented by the equation x² = -20y. What are the coordinates of the focus of the parabola?

Solution:

x² = -20y is the equation of the parabola with the vertex at origin

Its standard form is

x² = –4py

The parabola opens downwards as it has a negative sign on the rhs

The focus of the parabola is (0, -p)

4p = 20

p = 20/4 = 5

The focus is therefore (0, -5)

A parabola can be represented by the equation x² = -20y. What are the coordinates of the focus of the parabola?

Summary:

The coordinates of the focus of the parabola x² = -20y is (0, -5).