SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=-2x^2+2x+5}}} The x-coordinate of the vertex is _

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. {{{f(x)=-2x^2+2x+5}}} The x-coordinate of the vertex is _      Log On


   



Question 394807: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f%28x%29=-2x%5E2%2B2x%2B5
The x-coordinate of the vertex is ___.
(Type a simplified fraction.)
The y-coordinate of the vertex is ___.
(Type a simplified fraction.)
The equation of the line of symmetry is x=___.
(Type a simplified fraction.)
The maximum/minimum of f(x) is ___.
(Type a simplified fraction.)
The value of f%281%2F2%29=11%2F2 is?
Minimum or Maximum
Graph

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=-2x^2+2x+5
.
x=-b/2a
=-2/-4
=1/2
The x-coordinate of the vertex is 1/2. Which is also the line of symmetry.
.
-2*.5^2+2*.5+5
=11/2
The y-coordinate of the vertex is 11/2 which is also the maximum.
.
Ed
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2x%5E2%2B2x%2B5%29