Question

Write an equation for the translation of x^2+y^2=25 by 7 units left and 2 units down

Answer 1

Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same. 

Your new equation is:

(x + 7)² + (y + 2)² = 25