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)

(x+2)2+y2=49


x2+(y+2)2=49


(x−2)2+y2=49


x2+(y−2)2=49

Answer 1

Center (h,k) = (−2,0), radius r = 7. Standard form: (x−h)^2 + (y−k)^2 = r^2 → (x−(−2))^2 + (y−0)^2 = 7^2, so

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

(First option.)