Question

Pls help me if ur able to thanks

Write the quadratic function f(x)=-3x^2-3x-46
in the form f(x)=a•(x-h)^2+k

Answer 1

-3(x+0.5)^2-181/4 (if I calculated correctly)

Explanation:

f(x)=-3x^2-3x-46

=-3(x^2+x+46/3)

=-3(x+0.5)^2-(0.5)^2+46/3

=-3(x+0.5)^2+181/12

=-3(x+0.5)^2-181/4