Determine the vertex of the function f(x) = 2(x − 5)2 + 8

In this question, you're trying to find the vertex of the given equation:

2(x − 5)² + 8

In order to find the vertex, you would get the coordinates from the equation.

The equation is already in vertex form: y= a(x-h)² + k

You'll get your x coordinate from h and y coordinate from k

5 is in the place of h in your equation, so that will be your x coordinate.

8 is in the place of k in your equation, so that will be your y coordinate.

When you combine the coordinates together, you should get:

(5, 8)

This means that your vertex will be at (5,8)

(5,8)