### Home > A2C > Chapter 10 > Lesson 10.1.2 > Problem 10-47

10-47.

Rearrange each equation into a more useful form for graphing. State the locator point and draw the graph. Homework Help ✎

*y*= 2*x*^{2}+ 8*x*+ 5*x*^{2}+*y*^{2}− 2*x*− 6*y*= 0

Factor and complete the square.

*y* = 2(*x*^{2} + 4*x*) + 5

*y* = 2(*x*^{2} + 4*x* + 4) − 2(4) + 5

*y* = 2(*x* + 2)^{2} − 3

Locator point: (−2, −3)

Complete the square for both *x* and *y*.

(*x* − 1)^{2} + (*y* − 3)^{2} = 10

Locator point: (1, 3)