Question

Which equation has a vertex of (-6.3)

Answer 1

SOLUTION

Step 1: Write out the standard form equation for a parabola.

$\begin{gathered} y=a(x-h)^2+k \\ \text{With vertex coordinate:} \\ (h,k) \end{gathered}$

Step 2: Now compare the equation in the option to the general form.

$\begin{gathered} y=2(x+6)^2+3^{} \\ y=a(x-h)^2+k \\ \text{comparing:} \\ -h=6 \\ h=\frac{6}{-1} \\ h=-6 \end{gathered}$$\begin{gathered} k=+3 \\ k=3 \\ \\ \text{Therefore:} \\ (h,k)=(-6,3) \end{gathered}$

If you compare the other options, you will get different answers for the value of the vertex (-6,3)

So, therefore, the correct answer is A.