Express quadratic function:?

Express the quadratic function f(x) = - x ^2 + 4x - 12 in standard


form.





a. -(x - 2) ^2 - 8


b. -(x + 2)^2 - 14


c. (x + 2) ^2 + 12


d. -(x - 4) ^2 - 2


e. (x - 4) ^2 - 24

Express quadratic function:?
The way to figure the answer out is to expand each of the functions listed. For a.),





-(x - 2)^2 - 8


= -(x^2 - 4x + 4) - 8


= -x^2 + 4x - 4 - 8


= -x^2 + 4x - 12.





The key here is being able to expand each of the functions. If you know how to do that, you'll be in good shape for any other questions like this. :)
Reply:- x^2 + 4x - 12


-(x^2 - 4x) - 12


-(x^2 - 4x + 4) - 12 - (-4)


-(x - 2)^2 - 8





A
Reply:The answer is a., i.e., -(x-2)^2-8
Reply:a.
Reply:f(x)=-x^2+4x-12


=-{(x^2-4x+2^2)+12-2^2}


=-{(x-2)^2+12-4}


=-{(x-2)^2+8}


=-(x-2)^2-8 ie.,a ans