Answer to Question #289723 in Analytic Geometry for Thor

Question #289723

Graph two overlapping circles in the cartesian plane, such that the center of one another



lies at the circumference of the other.



• Show the standard and general equations of these circles inductively (meaning, writing



from its properties going to the equation).



• Graph also a parabola whose vertex is the center of one circle, and whose opening faces



the center of the other circle.



• Graph another parabola opposite to the first one whose endpoints of Latus Rectum are



the intersection points of the two circles.



• Show the standard and general equations of the parabolas inductively (meaning, writing



from its properties going to the equation).



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