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BIGDOG96

  • 2 years ago

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.

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  1. BIGDOG96
    • 2 years ago
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    @PaxPolaris can you help me?

  2. PaxPolaris
    • 2 years ago
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    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
    • 2 years ago
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    Okay

  4. PaxPolaris
    • 2 years ago
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    so in your formula: what's the center supposed to be? and what's the radius is supposed to be?

  5. BIGDOG96
    • 2 years ago
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    1, -3 r=4?

  6. PaxPolaris
    • 2 years ago
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    center is (1,-3)... yes but \(\large r \ne 4\) \[\Large \color{green}{r^2=4}\]

  7. BIGDOG96
    • 2 years ago
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    So r = 2?

  8. BIGDOG96
    • 2 years ago
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    Or 16?

  9. PaxPolaris
    • 2 years ago
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    2... you got it.

  10. BIGDOG96
    • 2 years ago
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    Great, thanks a million!

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