SOLUTION: 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) = -x2 - 2x - 6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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) = -x2 - 2x - 6       Log On


   

Question 636556: 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) = -x2 - 2x - 6
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+-x%5E2+-+2x+-+6
The function has a maximum since the first term -x%5E2 has a negative coefficient.

+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C-x%5E2+-+2x+-+6%29+

x=-+b%2F2a
x=-%28-2%29%2F2%28-1%29
x=2%2F-2%29
x=-1%29
f%28x%29+=+-x%5E2+-+2x+-+6
f%28x%29+=+-%28-1%29%5E2+-+2%28-1%29+-+6
f%28x%29+=+-1+%2B2+-+6
f%28x%29+=+-7+%2B2
f%28x%29+=-+5
the coordinates of the maximum:(-1,-5)