SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM; What are the coordinates of the apex of: (f^og)(x) if f(x)= x^2 +4 and g(x)= x-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM; What are the coordinates of the apex of: (f^og)(x) if f(x)= x^2 +4 and g(x)= x-3      Log On


   

Question 156125: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM;
What are the coordinates of the apex of:
(f^og)(x) if f(x)= x^2 +4 and g(x)= x-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2+%2B4 Start with the given function


f%28g%28x%29%29=%28x-3%29%5E2+%2B4 Plug in +g%28x%29=+x-3


Notice how the equation is in vertex form y=a%28x-h%29%5E2%2Bk where h=3 and k=4. Also, remember that the vertex of the equation y=a%28x-h%29%5E2%2Bk is (h,k). So in this case, the vertex of f%28g%28x%29%29=%28x-3%29%5E2+%2B4 is (3,4).

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Answer:

So the vertex is (3,4)