MediumConic sections

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.5 Parabolas, Ellipses, and Hyperbolas, #25 · Geometry · Conic sections

Decide between circle-ellipse-parabola-hyperbola, based on the … equation with … and

This problem is about parabolas, are about ellipses, are about hyperbolas.

Decide between circle-ellipse-parabola-hyperbola, based on the $X Y$ equation with $X = x - 1$ and $Y = y + 3$ .
(a) $x^{2} - 2 x + y^{2} + 6 y = 6$
(b) $x^{2} - 2 x - y^{2} - 6 y = 6$
(c) $x^{2} - 2 x + 2 y^{2} + 12 y = 6$
(d) $x^{2} - 2 x - y = 6$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.5 Parabolas, Ellipses, and Hyperbolas, #25

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