A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola?

Solution:

It is given that a parabola has a vertex at (-1, 0).

The vertex form: y = a(x - h)² + k

Then (h; k) the coordinates of vertex

So, (-1; 0) ⇒ h = -1 and k = 0

Hence, y = a(x + 1)²

Since the parabola opens down, a < 0.

Therefore, the equation of the parabola is y = a(x + 1)².

A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola?

Summary:

A parabola has a vertex at (-1, 0) and opens down. The equation of the parabola is y = a(x + 1)².