Question

What is the equation of the following graph?

Answer 1

Answer:

${y}^{2} = 24x$

Step-by-step 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

${y}^{2} = 4 \times 6x$

This implies that

${y}^{2} =2 4 x$