Question

Look at the graph.

Which equation best represents the circle in the graph?

(x + 1)2 + (y - 4)2 = 9

(x + 1)2 + (y + 4)2 = 9

(x - 1)2 + (y - 4)2 = 9

(x - 1)2 + (y + 4)2 = 9

Answer 1

@Callisto

Answer 2

What are the coordinates of the centre?

Answer 3

looks, like 1,4

Answer 4

Right. What's the radius of the circle?

Answer 5

3

Answer 6

Yes.
Now, equation of circle can be expressed in the form of
(x-h)^2 + (y-k)^2 = r^2 , where (h,k) are the coordinates of centre of the circle and r is the radius of the circle.
Can you get your answer now?

Answer 7

what is the x and the y?

Answer 8

x and y are the unknowns of the equation. The general coordinates of the points lie on the circle.

Answer 9

alright, ill try that out.

Answer 10

What you have to do is to identify the coordinates of centre (h,k) and radius of the circle (r). Then, sub. the values of h, k and r into the centre-radius form of the equation of circle..

Answer 11

like this: (x-1)^2 + (y-4)^2 = 3^2

Answer 12

@Callisto

Answer 13

Yes!

Answer 14

oh, and 3^2= 9, so its one of the above options

Answer 15

Yes!

Answer 16

Thank you!

Answer 17

Welcome :)