Question

A circle is drawn on a coordinate plane with the center point at (−8,−2)
and a radius of 2. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point)
Responses

(x+2)2+(y+8)2=2
left parenthesis x plus 2 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 2

(x−8)2+(y−2)2=4
left parenthesis x minus 8 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 4

(x−2)2+(y−8)2=2
left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 8 right parenthesis squared equals 2

(x+8)2+(y+2)2=4

Answer 1

Center (h,k)=(-8,-2), radius r=2 gives (x - (-8))^2 + (y - (-2))^2 = 2^2, so (x+8)^2 + (y+2)^2 = 4.