SOLUTION: For which value of b will the quadratic function below have an x-value of 6 at the minimum ? f(x)=x^2-2bx+7 Any help will be great, thanks.

Question 815212: For which value of b will the quadratic function below have an x-value of 6 at the minimum ?
f(x)=x^2-2bx+7
Any help will be great, thanks.
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The formula for the vertex is
when the form of the equation is

----------------------

( different b's )
-----------------------
So,

----------
So, the equation would be:

Here's the plot:

It looks like when , or so
I'll check:

OK
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Try completing the square to put into standard form. Read the vertex coordinates which will be variabled and compare to the vertex given of x=6 and y = something which you read from the standard form equation.
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