SOLUTION: Graph of the function f(x)=2x^2-4x+1 after rewriting it's equation in the form y-k=a(x-h)^2.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Graph of the function f(x)=2x^2-4x+1 after rewriting it's equation in the form y-k=a(x-h)^2.       Log On


   

Question 970908: Graph of the function f(x)=2x^2-4x+1 after rewriting it's equation in the form y-k=a(x-h)^2.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Square using 1.

2%28x%5E2-2x%2B1%2F2%29
2%28x%5E2-2x%2B1-1%2B1%2F2%29
2%28%28x-1%29%5E2-1%2F2%29
2%28x-1%29%5E2-1

Vertex is (1,-1)

Zeros can be found solving the f(x)=0
....

graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C2x%5E2-4x%2B1%29