SOLUTION: Given the function f(x)=-3x^2+9x-5 f(x) by and g(x)=f(x-2)+5 a)Find the vertex of g(x) b)Rewrite f(x) in vertex form.

Algebra ->  Functions -> SOLUTION: Given the function f(x)=-3x^2+9x-5 f(x) by and g(x)=f(x-2)+5 a)Find the vertex of g(x) b)Rewrite f(x) in vertex form.      Log On


   

Question 971748: Given the function f(x)=-3x^2+9x-5 f(x) by and g(x)=f(x-2)+5
a)Find the vertex of g(x)
b)Rewrite f(x) in vertex form.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-h%29%5E2%2Bk standard form, vertex is (h,k).
(2,5) is the vertex for g(x).

Complete the Square for f(x) and convert into standard form. The term to use is ---------.
Factor the -3, first, and THEN complete the square.

The lesson ALSO shows how to Complete The Square, written for purpose of solving a quadratic equation.