Answer:
[tex](x-7)^2+(y-5)^2=16[/tex].
Step-by-step explanation:
The given circle has equation [tex]x^2+y^2=16[/tex].
This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).
The equation of a circle with center (h,k) and radius r units is [tex](x-h)^2+(y-k)^2=r^2[/tex].
This implies that, the translated circle will now have equation.
[tex](x-7)^2+(y-5)^2=4^2[/tex].
[tex](x-7)^2+(y-5)^2=16[/tex].
