CPM Homework Help : A2C Problem 8-132

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Home > A2C > Chapter Ch8 > Lesson 8.2.2 > Problem 8-132

8-132.

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

$y = −2x^{2} − x + 13$
Hint (a):
Factor the terms containing x so the coefficient of x² is 1, then complete the square.
Hint 2 (a):
$y=-2\left(x^{2}+\frac{1}{2}x\right)+13$
More Help (a):
$y=-2\left(x^{2}+\frac{1}{2}x+\frac{1}{16}\right)-(-2)\left(\frac{1}{16}\right)+13$
Partial Answer (a):
$y=-2\left(x+\frac{1}{4}\right)^{2}+\frac{105}{8}$

$y = −3x^{2} − 6x + 12$
Hint (b):
See part (a).

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