A low-wattage radio station can be heard only within a certain distance from the station. On the graph below, the circular region represents the part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?

Question

A low-wattage radio station can be heard only within a certain distance from the station. On the graph below, the circular region represents the part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?

(1 point) Responses (x−3)2+(y+6)2=4 open paren x minus 3 close paren squared plus open paren y plus 6 close paren squared is equal to 4 (x−6)2+(y+3)2=4 open paren x minus 6 close paren squared plus open paren y plus 3 close paren squared is equal to 4 (x+3)2+(y−6)2=2 open paren x plus 3 close paren squared plus open paren y minus 6 close paren squared is equal to 2 (x+3)2+(y−6)2=4

Answer 1

The correct equation that represents the boundary for the region where the station can be heard is:

(x+3)2+(y-6)2=4

This equation represents a circle with center (-3, 6) and radius 2.