Question

Lol

Answer 1

The centers and radius for the equations are:

• 1) (1, 6) and radius 3
• 2) (2, -3) and radius 6
• 3) (-4, 5) and radius 5

And the circles are in the graph below.

How to identify the center and radius of a circle?

A general circle equation centered at the point (a, b), with a radius of R, is written as:

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

Then for the given equations we have:

1) (y-6)^2 + (x - 1)^2 = 9

So the center is at (1, 6) and the radius is 3.

2)  (x-2)^2 + (y + 3)^2 = 36 = 6^2

So the center is at (2, -3) and the radius is 6.

3) (x + 4)^2 +(y-5)^2 = 25 = 5^2

So the center is at (-4, 5) and the radius is 5.

The graphs of the 3 circles can be seen below. Green is the first circle, blue is the second circle, and red is the last circle.

If you want to learn more about circles, you can read:

brainly.com/question/1559324