### Home > A2C > Chapter 8 > Lesson 8.2.2 > Problem8-132

8-132.

Change each equation to graphing form. For each equation, find the domain and range and determine if it is a function.

1. $y = −2x^{2} − x + 13$

Factor the terms containing x so the coefficient of x² is 1, then complete the square.

$y=-2\left(x^{2}+\frac{1}{2}x\right)+13$

$y=-2\left(x^{2}+\frac{1}{2}x+\frac{1}{16}\right)-(-2)\left(\frac{1}{16}\right)+13$

$y=-2\left(x+\frac{1}{4}\right)^{2}+\frac{105}{8}$

1. $y = −3x^{2} − 6x + 12$

See part (a).