Translate between the geometric description and the equation for a conic section.
Expressing Geometric Properties with Equations
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Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Derive the equation of a parabola given a focus and directrix.
Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
Translate between the geometric description and the equation for a circle.