Respuesta :

The given function is

[tex]y=-5(x-6)^2+8[/tex]

This equation represents a parabola which is expressed in its vertex form

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

Where (h,k) is the vertex. Using this rule, the vertex of the given parabola would be (6,8).

Therefore, the answer is (6,8).