What is the vertex form of the function: f(x) = -12x - 6x^2- 13?

f(x)=-6*(x+1)^2+-7

Step-by-step explanation:

This is because the vertex is at (-1|-7)

f(x)=-6*x^2+-12*x+-13

f(x)=-6*(x^2+2*x+13/6)( Factor out )

f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6)( Complete the square )

f(x)=-6*((x+1)^2+-1*(1)^2+13/6)( Use the binomial formula )

f(x)=-6*((x+1)^2+1*7/6)( simplify )

f(x)=-6*(x+1)^2+-7( expand )

Hope this Helps

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1.0

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