Question

A circle is drawn on a coordinate plane with the center point at (−4,6)
(
−
4
,
6
)
and a radius of 2. Derive the equation of the circle from the given information. Fill in the missing information in the following equation.(2 points)

Answer 1

Standard form: (x − h)^2 + (y − k)^2 = r^2. With center (h,k) = (−4,6) and r = 2:

(x + 4)^2 + (y − 6)^2 = 4

Expanded form: x^2 + y^2 + 8x − 12y + 48 = 0.