What is the equation has a graph that is a parabola with a vertex at (-2, 0)?

Solution:

Given, the vertex of a parabola is (-2, 0)

We have to find the equation of parabola.

Vertex form of parabola equation is given by

\(y=a(x-h)^{2}+k\)

Where, (h, k) is the vertex

Here, h = -2 and k = 0

Substituting the value of (h, k) in the general equation,

\(y=a(x-(-2))^{2}+0\)

\(y=a(x+2)^{2}\)

Let us consider a = 1

\(y=(1)(x+2)^{2}\)

\(y=(x+2)^{2}\)

Therefore, the equation of a parabola is \(y=(x+2)^{2}\).

---

What is the equation has a graph that is a parabola with a vertex at (-2, 0)?

Summary:

The equation of a parabola with a vertex (-2, 0) is \(y=(x+2)^{2}\).