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 ->  Quadratic-relations-and-conic-sections -> 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 549577: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+-x%5E2+-+2x+-+6+
The coefficient of the squared term
is negative, so the vertex is at a
maximum
+x%5Bmax%5D+=+-b%2F%282a%29+
+x%5Bmax%5D+=+-%28+-2%29%2F%282%2A%28-1%29%29+%29+
+x%5Bmax%5D+=+-1+
+f%28-1%29+=+-%28-1%29%5E2+-+2%2A%28-1%29+-+6+
+f%28-1%29+=+-1+%2B+2+-+6+
+f%28-1%29+=+-5+
The vertex is at (-1,-5)
Here's the plot:
+graph%28+400%2C+400%2C+-6%2C+6%2C+-16%2C+2%2C+-x%5E2+-+2x+-+6+%29+