### Home > A2C > Chapter 10 > Lesson 10.2.6 > Problem10-149

10-149.

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

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

• Multiply by 4.

• $4\textit{y}=\textit{x}^{2}+2\textit{x} + \frac{5}{2}$

• $\text{Now complete the square and multiply by } \frac{1}{4}.$

• $\textit{y}=\frac{1}{4}(\textit{x}^{2}+2\textit{x}+1)+\frac{3}{8}$

• $\textit{y}=\frac{1}{4}(\textit{x}+1)^{2}+\frac{3}{8}$

1. $y = \frac { 1 } { 4 } x ^ { 2 } + 5 x + 41$

See part (a).