Question

given: y = 2(x - 5)^2 + 6, the vertex is (2,6) (5,6)

Explanation:

Step1: Recall vertex - form of parabola

The vertex - form of a parabola is $y=a(x - h)^2+k$, where $(h,k)$ is the vertex of the parabola.

Step2: Identify $h$ and $k$ values

For the equation $y = 2(x - 5)^2+6$, comparing with $y=a(x - h)^2+k$, we have $h = 5$ and $k = 6$.

Answer:

$(5,6)$