Answer: see graph below
Explanation:
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
(x - 4)² + (y - 2)² = 9
- (h, k) = (4, 2)
- r² = 9 ⇒ r = 3
To graph the circle, mark an x at the center (4, 2). Then plot a point 3 units (the radius) to the right of the center, another point 3 units up from the center, a third point 3 units to the left of the center, and a fourth point 3 units down from the center. "Connect the dots" to form a circle.