Question

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

Answer 1

Answer:

y^2 = 28x

Step-by-step explanation:

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

y^2 = 28x

Answer 2

Answer:

x = - 1/28 y^2

Step-by-step explanation: