Question

The equation of a circle is shown below.

(x – 3)^2 + (y – 2)^2 = 9

Which statement is true about the center of the circle?

It is located on the y-axis.

It is located in the third quadrant.

It is located in the first quadrant.

It is located on the x-axis.

Answer 1

the general form of the circle is

\[(x - h)^2 + (y - k)^2 = r^2\]

the centre is (h, k)

you need to identify your centre by comparing it to the general form and then determining which quadrant.

Answer 2

so the center is at (-3,-2) so it is in the 3 quadrant?

Answer 3

@campbell_st ^

Answer 4

http://www.wolframalpha.com/input/?i=%28x+%E2%80%93+3%29%5E2+%2B+%28y+%E2%80%93+2%29%5E2+%3D+9+

Answer 5

if its (x - h)^2 + (y - k)^2 the centre is (h, k)

what is the value of h, and k... and its not -3 and -2

Answer 6

@campbell_st (3, 2) ?

Answer 7

thats correct... so which quadrant.

Answer 8

@LivForMusic Yeah.