Answer:
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