Question

find the vertex of the graph of the quadratic function.
$y = -2(x - 5)^2 + 6$
the vertex is $\square$.
(type an ordered pair.)

Explanation:

Step1: Recall vertex form definition

A quadratic function in vertex form is $y=a(x-h)^2+k$, where $(h,k)$ is the vertex.

Step2: Match given function to vertex form

For $y=-2(x-5)^2+6$, we identify $h=5$ and $k=6$.

Answer:

$(5, 6)$