### Home > A2C > Chapter 10 > Lesson 10.1.2 > Problem10-47

10-47.

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

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

Factor and complete the square.

$y = 2\left(x^{2} + 4x\right) + 5$

$y = 2\left(x^{2} + 4x + 4\right) − 2\left(4\right) + 5$

$y = 2\left(x + 2\right)^{2} − 3$

Locator point: $\left(−2, −3\right)$

1. $x^{2} + y^{2} − 2x − 6y = 0$

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

$\left(x − 1\right)^{2} + \left(y − 3\right)^{2} = 10$

Locator point:$\left(1, 3\right)$