Question

Instructions: Given the vertex, fill in the vertex form of the quadratic function.

Answer 1

ANSWER:

$y=(x+6)^{2}-5$

STEP-BY-STEP EXPLANATION:

A quadratic equation in its vertex form has the following form:

$\begin{gathered} (x-h)^2=y-k \\ \\ y=(x-h)^2+k \end{gathered}$

Where (h, k) is the vertex of the function, therefore, we replace:

$\begin{gathered} y=(x-(-6))^2+(-5) \\ \\ y=\:\left(x+6\right)^2-5 \end{gathered}$