Question

Find an equation of the parabola.

Vertex: (0, 5)

Directrix: y = - 3

Answer 1

Step 1:

The vertex of parabola is .

Directrix is

Since the directrix is in form, the parabola is vertical.

Standard form of parabola is

where , is vertex , focus at and directrix is .

Find the value.

In this case .

Substitute in above equation.

.

Step 2:

Substitute and in .

The parabola equation is .

Solution:

The parabola equation is .