SOLUTION: find the vertex, the line of symmetry, and the maximim or minimum value of the quadratic function, and graph the function on paper. f(x) = 3x^2-18x+14 what is the vertex (type

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: find the vertex, the line of symmetry, and the maximim or minimum value of the quadratic function, and graph the function on paper. f(x) = 3x^2-18x+14 what is the vertex (type      Log On


   



Question 395567: find the vertex, the line of symmetry, and the maximim or minimum value of the quadratic function, and graph the function on paper.
f(x) = 3x^2-18x+14
what is the vertex (type an ordered pair)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
f(x) = 3x^2-18x+14
Finding vertex
Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
f(x) = 3x^2-18x+14
|completing square to put into vertex form
f(x) = 3[(x-3)^2 -9] + 14
f(x) = 3(x-3)^2 -13 Vertex is Pt(3,-13) Line of symmetry is x = 3
Vertex Pt(3,-13) is where the minimum value occurs: f(3) = -13