SOLUTION: Write the quadratic function in vertex form then graph the function. y=2x^2-2x+1 this is what i have so far y=-2(x-2)+1 I don't really know how to tell what is h and what is k

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the quadratic function in vertex form then graph the function. y=2x^2-2x+1 this is what i have so far y=-2(x-2)+1 I don't really know how to tell what is h and what is k      Log On


   



Question 419097: Write the quadratic function in vertex form then graph the function. y=2x^2-2x+1
this is what i have so far y=-2(x-2)+1
I don't really know how to tell what is h and what is k.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the quadratic function in vertex form then graph the function. y=2x^2-2x+1
this is what i have so far y=-2(x-2)+1
I don't really know how to tell what is h and what is k.
..
y=2x^2-2x+1
Standard form for a second degree equation which is a parabola:
y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
completing the square,
y=2(x^2-x+1/4)+1-1/2
y=2(x-1/2)^2+1/2
This is a parabola that opens upwards with the vertex at (h,k)=(1/2,1/2)
see the graph of this parabola below:
..
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2-2x%2B1%29+