Question

given the circle x^2 + y^2 = 16, if you translate the circle 5 units to the left and 4 units down, what is the new equation?

Answer 1

go to https//webmath.com//

Answer 2

(x-a)^2 + (y-b)^2 = r^2
is the equation of a circle, where r is the radius of the circle, and the center of the circle is (a, b)

Looking at your original equation:
x^2 + y^2 = 16, the radius is sqrt(16) = 4 and the center is
(0,0)
What is the new center? Use that to write your new equation.