Question

A circle is drawn on a coordinate plane with the center point at (−2,0)
(
−
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
2
+
(
𝑦
+
2
)
2
=
49

x squared plus left parenthesis y plus 2 right parenthesis squared equals 49

(x−2)2+y2=49
(
𝑥
−
2
)
2
+
𝑦
2
=
49

left parenthesis x minus 2 right parenthesis squared plus y squared equals 49

x2+(y−2)2=49
𝑥
2
+
(
𝑦
−
2
)
2
=
49

x squared plus left parenthesis y minus 2 right parenthesis squared equals 49

(x+2)2+y2=49
(
𝑥
+
2
)
2
+
𝑦
2
=
49

left parenthesis x plus 2 right parenthesis squared plus y squared equals 49

Answer 1

Equation of a circle: (x − h)^2 + (y − k)^2 = r^2.
With center (h,k) = (−2,0) and r = 7: (x + 2)^2 + y^2 = 49.

So the correct choice is (x+2)^2 + y^2 = 49.