SOLUTION: Without graphing find the vertex {{{"f(x)"=-(x+5)^2+5}}}

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Question 264985: Without graphing find the vertex
%22f%28x%29%22=-%28x%2B5%29%5E2%2B5
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Without graphing find the vertex

%22f%28x%29%22=-%28x%2B5%29%5E2%2B5

The vertex of 

%22f%28x%29%22=a%28x-h%29%5E2%2Bk is the point %22%28h%2Ck%29%22

In your problem

%22f%28x%29%22=-1%28x%2B5%29%5E2%2B5

a=-1
-h=%22%22%2B5 so h=-5
%22%22%2Bk=%22%22%2B5 so k=5

So the vertex = %22%28h%2Ck%29%22=%22%28-5%2C5%29%22

Edwin