Answer:
( x + 5 )^2 + ( y - 3 )^2 = 2^2
Explanation:
The equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
We know that h=-5 and k=3, so we just need to solve for r.
To do that, we need to envision the circle on a graph. If the edge of the circle touches the horizontal line y=1, how many units is it between the edge of the circle and the middle of the circle?
The middle of the circle is at y=3, and the edge is at y=1, so there are 2 units between the edge and the middle. Which means r=2.
so, ( x + 5 )^2 + ( y - 3 )^2 = 2^2.