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Translate between the geometric description and the equation for a conic section


HSG‑GPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem;...
HSG‑GPE.A.2 Derive the equation of a parabola given a focus and directrix.
HSG‑GPE.A.3 $(+)$Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum...