Answer:
(x-5)²+(y-5)²=64.
Explanation:
When it comes to shifting, we simply need to change the vertex of the equation. Remember that the formula for a circle is:
(x-h)²+(y-k)²=r²---- (h,k) being the vertex.
In this case, h=3 and k=1. We are also shifting 2 units to the right, meaning we need to subtract 2 from the 'h' value. A shift of 4 units up means we have to subtract 4 from the 'k' value.
Our new equation is:
(x-5)²+(y-5)²=64.