Question

The equation of a circle is (x - 3)^2 + (y - 1)^2 = 64. Find the equation of the circle after it is shifted 2 units to the right and 4 units up. * 2 points

Answer 1

Answer:

(x-5)²+(y-5)²=64.

Step-by-step 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.