SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) =2x^2-12x+13

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) =2x^2-12x+13      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 464952: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) =2x^2-12x+13
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

f(x) =2x^2-12x+13 | Completing square to put into vertex form

f(x) = 2[(x-3)^2-9]+13

f(x) = 2(x-3)^2 - 5 |V(3,-5), a = 2 > 0, parabola opens upward, vertex a min Pt

x = 3, line of symmetry