SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. Help!, these are the only two I do not understand. f(x)= -x^2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. Help!, these are the only two I do not understand. f(x)= -x^2      Log On


   



Question 468337: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function. Help!, these are the only two I do not understand.
f(x)= -x^2+6x+6
f(x)= 2-x^2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
f(x)= -x^2+6x+6
f(x)= -[(x-3)^2 -9]+6
f(x)= -(x-3)^2 +15 V(3,15) maximum a = -1 a<0 Parabola opens downward
Line of symmetry x = 3
f(x)= 2-x^2
f(x)= -(x-0)^2 + 2 V(0,2) maximum a = -1 a<0 Parabola opens downward
Line of symmetry x = 0 (y-axis)