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Elementary Graphing Exercise 2 - Graphs of Circles

Derive the circle formula (x - h)2 + (y - k)2 = r  2 for the circle with center (h, k) and radius = r  by using the Definition of a Circle and the Distance Formula, and performing other algebraic steps. Justify all steps.
 

STATEMENT JUSTIFICATION
A circle has center (h,k), radius r, and any point on the circle is given by (x,y).

 

Given

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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