Question

How do you sketch `(x-2)^2+y^2=16`?

Answer 1

The basic equation to sketch a circle is:

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

Explanation:

Your value for `a` is clear: `a=2`
This is your `x`-coordinate.

Your value for `b` is hidden, but it's `0`.
This is your `y`-coordinate.

Now your radius is the square root of the right side of your function.

`sqrt(16) = 4 = r`

So, plug in your `x and y` coordinates; this is your center.

Then pick points `4` units around your center and sketch the rest of the circle.