### Home > A2C > Chapter 7 > Lesson 7.3.2 > Problem7-175

7-175.

Change each equation to graphing form. Sketch the graph and label each vertex and axis of symmetry.

1. $y = 2x^2 + 7x - 7$

Add $7$ to both sides to isolate the $x$-terms.

$y+7=2x^2+7x$

Factor out a $2$ from the $x$-terms.

$y+7=2\left(x^2+\frac{7}{2}x \right)$

Complete the square. Remember to add to both sides.

$y+7+\frac{98}{16}=2\left( x^2+\frac{7}{2}x+\frac{49}{16} \right)$

Simplify.

$y+\frac{105}{8}=2\left( x+\frac{7}{4} \right)^2$

Where is the vertex? Axis of symmetry?

1. $y = 3x^2 - x - 8$

See part (a).