SOLUTION: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = -x2 - 2x + 2

Algebra ->  Test -> SOLUTION: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x) = -x2 - 2x + 2      Log On


   



Question 1001369: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x2 - 2x + 2

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The coefficient on the leading term is negative, so makes the parabola convex upward, concave downward, meaning vertex is a maximum.

Complete the Square and transform into standard form, and then directly read the vertex coordinates from the standard form equation.

See this to learn how: how to solve and includes how to complete the square, quadratic equation