Answer:
[tex](4,6),(2,8),(0,6),(2,4)[/tex] (the list goes on)
Step-by-step explanation:
So the equation
[tex](x - 2)^2 + (y - 6)^2 = 4[/tex]
Let's try to graph it out (I won't actually graph it out here as I can't but try to follow along)
The first thing we notice from the equations is that the circle has a radius of 2, so draw a circle from the origin that has a radius of two, our most notible points at this stage are
[tex](2,0),(0,2),(-2,0),(0,-2)[/tex]
Now applying the transformation of 2 to the right and six up the new points become
[tex](4,6),(2,8),(0,6),(2,4)[/tex]