SOLUTION: Find the vertex, line of symmetry,and the maximum or minimum value of f(x), graph the function. f(x)=(1)/(3)(x+1)^(2)+6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the vertex, line of symmetry,and the maximum or minimum value of f(x), graph the function. f(x)=(1)/(3)(x+1)^(2)+6      Log On


   



Question 625217: Find the vertex, line of symmetry,and the maximum or minimum value of f(x), graph the function.
f(x)=(1)/(3)(x+1)^(2)+6

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex, line of symmetry,and the maximum or minimum value of f(x), graph the function.
f(x)=(1)/(3)(x+1)^(2)+6
Given equation is that of a parabola that opens upwards (has a minimum).
Its form of equation: A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given equation: (1/3)(x+1)^2+6
Vertex: (-1,6)
Line of symmetry: x=-1
minimum value=6
see graph below:
+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C%281%2F3%29%28x%2B1%29%5E2%2B6%29+