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Home Limits, Analytic Geometry, and Approximations Second Degree Curves Method of Translation of Axes
 
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Method of Translation of Axes

When to Use To graph an equation of the form

Ax2 + Cy2 + Dx + Ey + F = 0

where A and C are both nonzero.

Step 1 Use the Discriminant Test to determine the type of curve.
Step 2 Completing the Squares: Put

05_limits_g_approx-348.gif

and rewrite the original equation in terms of X and Y. The new equation will have the simple form

Ax2 + Cy2 + F1 = 0,

where F1 is a new constant.
Step 3 Draw dotted lines for the X and Y axes and sketch the curve as in Section 5.5.

Home Limits, Analytic Geometry, and Approximations Second Degree Curves Method of Translation of Axes

Last Update: 2006-11-25