Determine the equation of a circle with a center at (-4, 0) What is the equation of a circle with a center at (-4, 0)
that passes through the point (-2, 1) by following the that passes through the point (-2, 1)?
steps below.
x2 + (y + 4) =
1. Use the distance formula to determine the radius:
d = x2-x,)? +(y2-)?.
(x - 1)2 + (y + 2)2
(x + 4)2 + y² = 5
2. Substitute the known values into the standard form:
(x - h)2 + (y - k) = 1
(x + 2)2 + (y - 1)2 = 5