### Home > PC > Chapter 7 > Lesson 7.2.3 > Problem7-65

7-65.

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: $y = a\left(x − h\right)^{2} + k$.

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

$y = 2\left(x^{2} − 4x\right) + 7$

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

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

Finish completing the square.

2. Find the vertex of the parabola.

$\left(h,k\right)$
$\left(2,−1\right)$