Unformatted text preview: These correspond to Equation ( 3.35 ) with B = 0, exactly one of A and C nonzero, and the linear (degree one) term corresponding to the “other” variable nonzero; you should check that moving the vertex from the origin results from allowing both D and E , and/or F , to be nonzero. Ellipses and Circles: the model equation x 2 a 2 + y 2 b 2 = 1 (3.38) for a circle (if a = b ) or an ellipse with axes parallel to the coordinate axes and center at the origin corresponds to B = 0, A , C and F of the same sign, and D = E = 0. Again you should check that moving the vertex results in the introduction of nonzero values for D and/or E and simultaneously raises the absolute value of F . However, when...
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- Spring '08
- Calculus, Quadratic equation, Conic section, general quadratic equation