SOLUTION: Would someone please help me with this equation??!!!!?!?!!! Find the vertex, the line of symmetry, the maximum or minimum value of the quatratic function and graph the function.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Would someone please help me with this equation??!!!!?!?!!! Find the vertex, the line of symmetry, the maximum or minimum value of the quatratic function and graph the function.       Log On


   



Question 608399: Would someone please help me with this equation??!!!!?!?!!!
Find the vertex, the line of symmetry, the maximum or minimum value of the quatratic function and graph the function.
f(x) = -2x^2 + 2x + 6
The question asks for:
x-coordinate
y-coordinate
The equation line of symmetry
The minimum or maximum value of the quadratic function
and whether or not the value of f(1/2) = 13/2 is a minimum or maximum
also, the graph

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex, the line of symmetry, the maximum or minimum value of the quatratic function and graph the function.
f(x) = -2x^2 + 2x + 6
**
This is a parabola that opens downwards:
Its standard form of equation: y=(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
y-coordinate of vertex is maximum value of function
..
f(x)= -2x^2 + 2x + 6
complete the square
f(x)=-2(x^2-x+1/4)+6+1/2
f(x)=-2(x-1/2)^2+13/2
..
Vertex: (1/2,13/2)
Line of symmetry: x=1/2
Maximum value=13/2
See graph below:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2+%2B+2x+%2B+6%29+