SOLUTION: The graph of the quadratic function y = -x2 + x + 2 is a parabola. What is the range of the function? What is its vertex? What is the equation of the axis of symmetry?

Question 998657: The graph of the quadratic function y = -x2 + x + 2 is a parabola.
What is the range of the function?
What is its vertex?
What is the equation of the axis of symmetry?

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
---------as given, lead term coefficient indicates concave downward, vertex a maximum.

Roots will be -1 and +2. Symmetry axis in the exact middle.

-----------Axis of Symmetry

Evaluate y at .

-------Vertex is ( 1/2, 9/4 ).

RANGE
All real values so that , because remember, this graph has a vertex as a maximum.

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