SOLUTION: Can you please help with the following question??? Thank you!!! Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can you please help with the following question??? Thank you!!! Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of      Log On


   

Question 869314: Can you please help with the following question??? Thank you!!!
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.\
F(x) = -x^2 -2x-6
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Which, min or max?

You first learn about y=x%5E2, which has a minimum. If change sign to y=-x%5E2, then this has a maximum. Now you know.

Vertex? F(x) is not factorable, so find vertex in either of two ways. General solution, or complete the square.

-1%28x%5E2%2B2x%2B6%29
-1%28x%5E2%2B2x%2B1-1%2B6%29
-1%28%28x%2B1%29%5E2%2B5%29
highlight%28-%28x%2B1%29%5E2-5%29

The maximum is the vertex which you read directly from this standard form expression. Point (-1,-5).