Question

The equation of a circle is shown below.

(x – 1)2 + (y + 3)2 = 16

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

do you know the coordinates of the center?

Answer 2

No I do not.

Answer 3

look at \((x-1)^2 + (y+3)^2\)

if you equate x-1 to 0 you get x - 1 = 0

can you solve for x?

Answer 4

1

Answer 5

The center is (1, -3) so it's in the fourth quadrant

Answer 6

x = 1 that's right...therefore the x coordinate of the center is at 1

to find the y coordinate just equate y + 3 to 0

Answer 7

Thank you, but how did you come by this?

Answer 8

just follow the instructions im giving :D

Answer 9

I am

Answer 10

i know ^_^

Answer 11

so solve for y in y + 3 = 0

Answer 12

-3?

Answer 13

yup...therefore y coordinate of center is -3

so the point of the center is (1,-3)

positive x...negative y

Answer 14

fourth quadrant

Answer 15

that is the cartesian plane

fourth quadrant is correct