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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.

  1. 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' .

  1. This equation has the form , so this is a circle.

  1. The terms are both squared, being subtracted, and the -term is positive.

    This is a hyperbola that is vertically oriented.

  1. When you isolate the -term, the equation becomes:

    This is a parabola that opens to the left.