SOLUTION: Find the vertex the line of symmetry, the maximum or minimum value of the f(x). Graph the function. f(x)= -(x+3)^2-9

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 f(x). Graph the function. f(x)= -(x+3)^2-9       Log On


   

Question 534401: Find the vertex the line of symmetry, the maximum or minimum value of the f(x). Graph the function.
f(x)= -(x+3)^2-9
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = -(x+3)^2 -9
f(x) = -(x^2 +6x +9) -9
f(x) = -x^2 -6x -9 -9
f(x) = -x^2 -6x -18
.
axis of symmetry
-b/2a = -(-6)/(2*(-1)) = 6/-2 = -3
.
vertex is on the axis of symmetry
-(-3)^2 -6(-3) -18 = -9+18-18 = -9
(-3,-9)
.
+graph%28500%2C500%2C-10%2C5%2C-20%2C5%2C-x%5E2-6%2Ax-18%29+