SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). f(x) = 1/2(x+8)^2 + 2

Algebra ->  Equations -> SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). f(x) = 1/2(x+8)^2 + 2      Log On


   

Question 317603: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). f(x) = 1/2(x+8)^2 + 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The parabola is in vertex form,
y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
Comparing,
(h,k)=(-8,2)
The axis of symmetry is then x=-8
The coefficient of the x%5E2 term is positive, so the parabola opens upward and the value at the vertex is a minimum.
ymin=2
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