Find the equation of the parabola with the vertex at (0, 0) and the focus at (-1, 0).

Solution:

It is given that

Vertex = (0, 0)

Focus = (-1, 0)

We have to find the equation of the parabola

Equation of the parabola is y² = - 4ax

Where a = -1

So the equation becomes

y² = 4 × -1 × x

y² =- 4x

Therefore, the equation of the parabola is y² = -4x.

Find the equation of the parabola with the vertex at (0, 0) and the focus at (-1, 0).

Summary:

The equation of the parabola with the vertex at (0, 0) and the focus at (-1, 0) is y² = -4x.