CPM Homework Help : A2C Problem 10-149

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Home > A2C > Chapter Ch10 > Lesson 10.2.6 > Problem 10-149

10-149.

Rewrite each equation in graphing form and identify the key points.

$y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 5 } { 8 }$

Step 1(a):
Multiply by 4.
$4\textit{y}=\textit{x}^{2}+2\textit{x} + \frac{5}{2}$
Step 2(a):
$\text{Now complete the square and multiply by } \frac{1}{4}.$
$\textit{y}=\frac{1}{4}(\textit{x}^{2}+2\textit{x}+1)+\frac{3}{8}$
Answer (a):
$\textit{y}=\frac{1}{4}(\textit{x}+1)^{2}+\frac{3}{8}$

$y = \frac { 1 } { 4 } x ^ { 2 } + 5 x + 41$
Hint (b):
See part (a).

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