Question

Graph the equation (x-4)^2 + (y-2)^2 = 9

Answer 1

Answer:  see graph below

Step-by-step 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.