Question

Match the equation of the parabola with the appropriate description.

Answer 1

The given equation is:

`y+2=2(x+15)^2`

Given a quadratic equation in vertex form:

`\begin{gathered} y=a(x-h)^2+k \\ \text{ The vertex is given by the point }(h,k) \end{gathered}`

Rewrite the given equation in vertex form:

`\begin{gathered} y=2(x+15)^2-2 \\ y=2(x-(-15))^2+(-2) \end{gathered}`

In this case, h = -15 and k = -2.

Therefore, the required vertex is (-15, -2)