### Home > CCA2 > Chapter 9 > Lesson 9.3.2 > Problem9-95

9-95.

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

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

Multiply both sides by $4$.

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

Move 'c' to the left side.

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

Complete the square.

$4y-\frac{3}{2}=x^2+2x+1$

Factor both sides.

$4\left(y-\frac{3}{8}\right)=\left(x+1\right)^2$

Rewrite in $y =$ form.

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

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

Follow the steps outlined in part (a).