x^2+(y-6)^2=4

Question

What does the graph look like?

Answer 1

x^2+(y-6)^2 = 4

Compare it standard circle equation (x-h)^2+(y-k)^2 = r^2

(h,k) is centre and r is radius.

Here (h,k) = (0,6)

Radius is 2.

Graph of x^2+(y-6)^2 = 4

Answer 2

x ²  + (y - 6)² = 4

(x - 0)² + (y - 6)² = 2²

Compare it to standard form of a circle equation is

Where center is (h ,k ) and radius of circle is r .

Center at (0,6) and r = 2, So we plot

Up (0, 6+2) = (0, 8)

Down (0, 6-2) = (0, 4)

Left (0-2, 6) = (-2, 6)

Right (0+2, 6) = (2, 6)

Graph

1. draw the coordinate plane.

2. Plot the center at (0,6).

3. Plot 4 points " radius" away from the center in the up, down, left and right direction.

4. Sketch the circle.