To completethe squareswe needto find whichconstantsallowus to factorseachtrinomialinto a perfectsquare.To completethe squarefor the termswe needto add a constantof on both sides.
To completethe squarefor the termswe needto add a constantof on both sides.We can factorthe separatetrinomialsand obtain:
This simplifiesas:You can see now that the centerof the circleis at point and the radiusis.ConcentricCircles
Concentriccirclesare circlesof differentradii that sharethe samecenterpoint.
Example 9
Writethe equationsof the concentriccirclesshownin the graph.