Question

The equation of a circle is x2 + y2 =49 . What is the standard form of an equation of the circle after its center is translated left 3 units and up 2 units

Answer 1

Please write that x^2 + y^2 = 7^2.  The " ^ " indicates exponentiation.
This is the equation of a circle with center at the origin and radius 7.

Supposing that you translate this circle's center to point (h,k).  The equation is then 
            (x-h)^2 + (y-k)^2 = 7^2.  The new center is (h,k) = (-3, 2).  Substitute -3 for h and 2 for k in the above equation.

Simplify your result and you'll then be done!