Answer to Question #289723 in Analytic Geometry for Thor

Question

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).