If the equation of a conic section is (x-2)^2+(y+5)^2=25(x−2)2+(y+5)2=25, how has its center been translated?

1 Answer
AJ Speller
Sep 12, 2014

This is an equation of a circle. Note that all of the terms would have to be divided by 25 to put the relation is standard form. The standard form of this equation is ...

(x-h)^2+(y-k)^2=1(x−h)2+(y−k)2=1, where (h,k)(h,k) is the center of the circle.

You take the opposite sign of those values to find the center. In this example the center is (2,-5)(2,−5).

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