Question 743062
if  the circle {{{x^2+y^2=16}}} shifts to the left {{{2}}} units and downward {{{5}}} unit, means its center shifts to the left {{{2}}} units and downward {{{5}}} unit

so, an equation that shifts the circle will be:{{{ (x+2)^2+(y+5)^2=16 }}}


{{{ drawing(600, 600, -10, 10, -10, 10,grid(1),
  locate( 0, 0, O( 0, 0 ) ),green(locate( -2, -5, C )),blue(locate( -0.5, 0, C )),
  blue(circle( 0, 0, 4 )),
  green(circle( -2, -5, 4 )))}}}