SOLUTION: Find the minimum y-value on the graph of y-f(x). Then state where the graph of f is increasing and where it is decreasing. f(x)=x^2+6x-1

Algebra ->  Graphs -> SOLUTION: Find the minimum y-value on the graph of y-f(x). Then state where the graph of f is increasing and where it is decreasing. f(x)=x^2+6x-1      Log On


   



Question 882959: Find the minimum y-value on the graph of y-f(x). Then state where the graph of f is increasing and where it is decreasing.
f(x)=x^2+6x-1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form by completing the square.
f%28x%29=x%5E2%2B6x-1
f%28x%29=x%5E2%2B6x%2B9-1-9
f%28x%29=%28x%2B3%29%5E2-10
The minimum value occurs at the vertex (-3,-10).
For x%3C-3, f%28x%29 is decreasing.
For x%3E-3, f%28x%29 is increasing.
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