Question

A circle is drawn on a coordinate plane with the center point at (−2,0)
and a radius of 7. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point)
Responses

x2+(y+2)2=49
x squared plus left parenthesis y plus 2 right parenthesis squared equals 49

(x+2)2+y2=49
left parenthesis x plus 2 right parenthesis squared plus y squared equals 49

(x−2)2+y2=49
left parenthesis x minus 2 right parenthesis squared plus y squared equals 49

x2+(y−2)2=49

Answer 1

(x+2)^2 + y^2 = 49

Since the standard form is (x−h)^2+(y−k)^2=r^2 and the center is (h,k)=(-2,0) with r=7, we get (x−(−2))^2+(y−0)^2=49.