A parabola has a vertex at the origin. The focus of the parabola is located at (-2,0). Which is the equation for the directrix related to the parabola?
y = 2
x = 2
y = -2
x = -2

Solution:

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line.

The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

It is given that

Vertex of the parabola = (0, 0)

Focus = (-a, 0) = (-2, 0)

We have to find the equation for the directrix

Directrix x = a 

So we get

x = 2

Therefore, the directrix is x = 2.

A parabola has a vertex at the origin. The focus of the parabola is located at (-2,0). Which is the equation for the directrix related to the parabola?

Summary:

A parabola has a vertex at the origin. The focus of the parabola is located at (-2,0). The equation for the directrix related to the parabola is x = 2.