Page 5 - Jose Garcia_2013150017_grade12 ebook

The example and discussion above uses the translation formula. it is clear that

the and axes undergo a shift or translation process with translation ( ).

with a and b as the center of the new circle, the relationship is determined by

the formula :
′
= −
′
= −

ACTIVITY 1

1. Find the equation of a circle with center K(2,3), and radius 9.
Solution :

Use formula;

2
2
2
= ( − ) + ( − ) =
2
2
2
= (… −. . . ) + ( − 3) = …
= − 4 + 4 + − 6 + 9 = 81
2
2
2
2
= . . . + … −. . . −. . . −. . . = 0

So we get the equation is
2
2
= . . . + … −. . . −. . . −. . . = 0

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