MediumConic sections

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.5 Parabolas, Ellipses, and Hyperbolas, #35 · Geometry · Conic sections

Find an equation for the hyperbola with (a) vertices …, foci …

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

Find an equation for the hyperbola with
(a) vertices $(0, \pm 1)$ , foci $(0, \pm 2)$
(b) vertices $(0, \pm 3)$ , asymptotes $y = \pm 2 x$
(c) $(2, 3)$ on the curve, asymptotes $y = \pm x$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.5 Parabolas, Ellipses, and Hyperbolas, #35

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