### Home > PC3 > Chapter 11 > Lesson 11.1.1 > Problem11-12

11-12.

Graph each of the following equations. State all of the key information, such as the locations of the foci and/or the equations of any asymptotes.

1. $x^{2} - y^{2} = 9$

Divide the entire equation by $9.$

1. $\frac { ( x - 3 ) ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$

This is an ellipse (why?) with a center at $(3, −2)$. The 'horizontal radius' is $4$ and the 'vertical radius' is $3$.