anonymous
  • anonymous
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.
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
@PaxPolaris can you help me?
PaxPolaris
  • PaxPolaris
a circle with center \((h,k)\) and radius \(r\) will have the formula: \[\Large \left( x-h \right)^2+\left( y-k \right)^2=r^2\]
anonymous
  • anonymous
Okay

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PaxPolaris
  • PaxPolaris
so in your formula: what's the center supposed to be? and what's the radius is supposed to be?
anonymous
  • anonymous
1, -3 r=4?
PaxPolaris
  • PaxPolaris
center is (1,-3)... yes but \(\large r \ne 4\) \[\Large \color{green}{r^2=4}\]
anonymous
  • anonymous
So r = 2?
anonymous
  • anonymous
Or 16?
PaxPolaris
  • PaxPolaris
2... you got it.
anonymous
  • anonymous
Great, thanks a million!

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