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

Algebra ->  Functions -> SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). f(x)=1/2(x+3)^2+6      Log On


   

Question 581648: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)=1/2(x+3)^2+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: The equation f%28x%29=a%28x-h%29%5E2%2Bk has the vertex (h,k), the line of symmetry of x = h, and one of the following is possible

i) if a > 0, then f(x) = k is the minimum
OR
ii) if a < 0, then f(x) = k is the maximum