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)

Answer:

(5,8)