What is the equation of a parabola with a directrix x = 8 and focus (-8, 0)?

The equation of parabola is .

Step-by-step explanation:

It is given that the directrix of the parabola is x = 8 and focus is (-8, 0).

Since directrix is x=8, which a vertical line therefore the parabola is algo the x-axis.

The standard for of the parabola is

Where (h+p,k) is focus and is the directrix.

Since focus of the parabola is (-8,0)

            .... (1)

The directrix of the parabola is x= 8

              .... (2)

Add equation (1) and (2).

Put this value in equation 1.

Therefore h=0, k=0 and p=-8.

Therefore equation of parabola is .

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