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)