Answer :

the given equation is

[tex]f(x)=6(x+5)^2-10[/tex]

compare the above equation with the standard parabola equation,

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

here, h and k represent a vertex of the equation

compare both the expression.

h = - 5

and

k = - 10

So, the vertex of the equation is (h, k) = (-5 , -10).

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