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

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 ...

${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = 1$, where $\left(h , k\right)$ is the center of the circle.

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