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## BIGDOG96 Patrick drew the incorrect graph shown below to represent the circle (x – 1)2 + (y + 3)2 = 4 Which statement explains why Patrick’s graph is incorrect? Answers A. The radius of the circle should be 2 instead of 4. B. The center of the circle should be (1, 9) instead of (1, -3). C. The center of the circle should be (-1, 3) instead of (1, -3). D. The radius of the circle should be 16 instead of 4. one year ago one year ago

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1. BIGDOG96

@PaxPolaris can you help me?

2. PaxPolaris

a circle with center $$(h,k)$$ and radius $$r$$ will have the formula: $\Large \left( x-h \right)^2+\left( y-k \right)^2=r^2$

3. BIGDOG96

Okay

4. PaxPolaris

so in your formula: what's the center supposed to be? and what's the radius is supposed to be?

5. BIGDOG96

1, -3 r=4?

6. PaxPolaris

center is (1,-3)... yes but $$\large r \ne 4$$ $\Large \color{green}{r^2=4}$

7. BIGDOG96

So r = 2?

8. BIGDOG96

Or 16?

9. PaxPolaris

2... you got it.

10. BIGDOG96

Great, thanks a million!