Question

3. Which point lies inside the circle with equation (x - 2)2 + (y + 3)2 = 4?

(2,-5)
(2,0)
(2,-4)
(0, -3)

Answer 1

(2,-4) is the answer

Answer 2

C (2,-4)

Explanation:

You could graph the circle and then graph the points and see...

Or you could them in and see which point makes the left hand less than 4?

So if you wanted to draw it is a circle with center (2,-3) and radius 2.

If you want to do it the other way:

Plug in time!

(2,-5)?

(2-2)^2+(-5+3)^2

0^2+(-2)^2

0+4=4 so not this one

(2,-4)?

(2-2)^2+(-4+3)^2

0+1

1<4 so this one (you can also see this in the drawing: