Which is the equation of a parabola with vertex (0, 0) and focus (-3, 0)?

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 = (0, 0)

Focus = (-3, 0)

From this we know that the parabola is of the form y² = -4ax

Substituting the values

y² = -4 (3) x

y² = -12x

Therefore, the equation of a parabola is y² = -12x.

Which is the equation of a parabola with vertex (0, 0) and focus (-3, 0)?

Summary:

The equation of a parabola with vertex (0, 0) and focus (-3, 0) is y² = -12x.