Question

What is the equation for the translation of x2 + y2 = 81 six units to the left and five units up?

Answer 1

The formula would be (x + 6)^2 + (y - 5)^2 = 81.

This is the equation for a circle. We added plus 6 to the x term to get it to move to the left. And we add minus 5 to the y term to get it to move up 5 units.