(Need help, medal for best response) Which equation is the equation of the circle on the graph? (See attachment in response)

Question

dairn · Answer

attachment

mathstudent55 · Answer

The equation of a circle with center $(h, k)$ and radius $r$ is

$(x - h)^2 + (y - k)^2 = r^2$

mathstudent55 · Answer

Look at your circle.
What is the center?

dairn · Answer

(-3, 1) marks the center of the circle. I believe its radius is 3. Would this make the first option the answer?

lhgraythorn · Answer

The circle is in between the 2nd and 3rd quadrant, but it's center is in the 2nd quadrant. Which one shows a positive x and a negative y (it is on the left of the y axis)

dairn · Answer

Wouldn't the x need to be negative?

mathstudent55 · Answer

Correct. The center is (-3, 1).
Now substitute -3 for h and 1 for k in

$(x - h)^2 + (y - k)^2 = r^2$

What do you get?

mathstudent55 · Answer

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