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.