### Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem 7-158

Complete the square to change each equation below to graphing form. Find the domain and range of each relation and determine if it is a function. Homework Help ✎

*y*= 2*x*^{2}− 14*x*+ 13*x*= 2*y*^{2}− 6*y*− 11

13 is not the correct number for a complete square.

Move it to the opposite side of the equation.

*y* − 13 = 2*x*^{2} − 14

Factor out the 2 because it will not make a ^{n}complete square.^{n}

*y* − 13 = 2(*x*^{2} − 7*x*)

See the steps in part (a).

The graph in part (a) was a *y* = *x*^{2} parabola.

This in an *x* = *y*^{2} parabola.

How does this change the graph and hence the domain and range?

(*x* − ?)(*x* − ?) = *x*^{2} − 7*x* + ?^{2}

What number does the ? above need to be?

It needs to be 3.5 (or seven-twelfths).

3.5^{2} needs to be added in the parenthesis.

This is actually 2(3.5^{2}) being added on the right side.

Add 2(3.5^{2}) to the left side as well.

Factor.

To find the domain and range, think about what the graph looks like.