### Home > PC3 > Chapter 10 > Lesson 10.1.4 > Problem 10-85

10-85.

Graph each equation below. Also include all of the key information, such as the locations of the foci and/or the equations of any asymptotes.

Since the terms are both squared, being added, and the equation is equal to

, this is an ellipse. The center is at

. The 'horizontal radius' = 3 and the 'vertical radius' .

This equation has the form

, so this is a circle.

The terms are both squared, being subtracted, and the

-term is positive.This is a hyperbola that is vertically oriented.

When you isolate the

-term, the equation becomes:This is a parabola that opens to the left.