The equation $y = 2x^{2} − 8x + 7$ is not easy to graph in the form it is in.

1. Write the equation in vertex form: $y = a\left(x − h\right)^{2} + k$.

   Step 1(a):

   Factor a $2$ from the 1st two terms.

   $y = 2\left(x^{2} − 4x\right) + 7$

   Step 2(a):

   Fill in the ?'s. Note they are NOT the same!

   $y = 2\left(x^{2} − 4x\: +\: ?\right) + 7\: − \:?$

   Step 3(a):

   Finish completing the square.

2. Find the vertex of the parabola.

   Hint (b):

   $\left(h,k\right)$
   Be careful of your signs.

   Answer (b):

   $\left(2,−1\right)$