Question

Find the equation of the circle with radius 1 and center C(1, -2). Then sketch its graph.


AND...

Sketch a graph of the circle given by the equation.
(x + 6)2 + (y – 4)2 = 16

Answer 1

For any centre (a,b) and radius r, the equation of the circle is

(x-a)^2 + (y-b)^2 = r^2

look at your second equation,
(x+6)^2 + (y-4)^2 = 16 or 4^2

doesn't it fit that pattern perfectly ?
for a centre of (-6,4) and radius of 4

Now you can sketch it.

Do the same for the first of your questions.