Respuesta :

 the answer is (5, -2)

Answer:

Vertex of the parabola is (5,2)

Step-by-step explanation:

The equation of the parabola is

[tex]y=(x-5)^2-2[/tex]

The vertex form of the parabola is given by

[tex]y=a(x-h)^2+k[/tex]

Here (h,k) is the vertex of the parabola.

Now, comparing the given equation with the vertex form of the parabola, we get

a = 1, h = 5, k =-2

Therefore, the vertex is

(h,k)

= (5,-2)

Vertex of the parabola is (5,2)