Question

What is the equation of the following graph?

Answer 1

`{y}^(2) = 24x`

Explanation:

This is horizontal parabola.

It has a directrix at x=-6.

The vertex is (0,0).

The focus is (6,0)

The equation of this parabola is of the form

`{y}^(2) = 4px`

Where (p,0) is the focus

By comparison, p=6

Therefore the equation of the parabola is

`{y}^(2) = 4 * 6x`

This implies that

`{y}^(2) =2 4 x`