Answer:
vertex is (2,-9)
Step-by-step explanation:
[tex]y+9=-6(x-2)^2[/tex]
The general vertex form of quadratic equation is
[tex]y=a(x-h)^2+k[/tex]
Where (h,k) is the vertex
First we solve the given equation for y. then compare the given equation with the general equation.
[tex]y+9=-6(x-2)^2[/tex]
Subtract 9 from both sides
[tex]y=-6(x-2)^2-9[/tex]
The value of h=2 and the value of k = -9
So vertex is (2,-9)