SOLUTION: Given the function f(x) = 3x^2 + 24x- 2, find the following: (a) find the vertex of the graph of f(x) (b) find the x-intercepts (c) find the maximum value obtained by f(x) (d)

Algebra ->  Graphs -> SOLUTION: Given the function f(x) = 3x^2 + 24x- 2, find the following: (a) find the vertex of the graph of f(x) (b) find the x-intercepts (c) find the maximum value obtained by f(x) (d)       Log On


   

Question 1130472: Given the function f(x) = 3x^2 + 24x- 2, find the following:
(a) find the vertex of the graph of f(x)
(b) find the x-intercepts
(c) find the maximum value obtained by f(x)
(d) find the minimum value obtained by f(x)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Maximum value, no.
Minimum value, yes.
Notice 3x%5E2 term tells you something.

Completing the Square using 16:
3%28x%5E2%2B8x%29-2
3%28x%5E2%2B8x%2B16%29-2-3%2A16
highlight%28f%28x%29=3%28x-4%29%5E2-50%29

Vertex is a minimum, at (4, -50).