Question

The equation of a circle is shown below.

x2 + (y - 9)2 = 4

Which statement is true about the center of the circle?

* It is located on the x-axis.
* It is located on the y-axis.
* It is located in the third quadrant.
* It is located in the fourth quadrant.

Answer 1

looks like
\[(x-h)^2+(y-k)^2=r^2\] a circle with center \((h,k)\) and radius \(r\)
write it as
\[(x-0)^2+(y-9)^2=2^2\] to identify the center as \((0,9)\) and the radius as 2

Answer 2

since the first coordinate is \(x=0\) this is located on the \(y\) axis

Answer 3

thanks (:, is it possible that for my knowledge for future questions you tell me where are the quadrants located because i really don't know.