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Uso the graph to answer the question.\newlineWhat is the equation of the circle?\newlineA. \newline(x+3)2+(y−2)2=8(x+3)^{2}+(y-2)^{2}=8\newlineC. \newline(x+3)2+(y−2)2=16(x+3)^{2}+(y-2)^{2}=16\newline88. \newline(x−3)2+(y+2)2=8(x-3)^{2}+(y+2)^{2}=8\newlineD. \newline(x−3)2+(y+2)2=16(x-3)^{2}+(y+2)^{2}=16

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Q. Uso the graph to answer the question.\newlineWhat is the equation of the circle?\newlineA. \newline(x+3)2+(y−2)2=8(x+3)^{2}+(y-2)^{2}=8\newlineC. \newline(x+3)2+(y−2)2=16(x+3)^{2}+(y-2)^{2}=16\newline88. \newline(x−3)2+(y+2)2=8(x-3)^{2}+(y+2)^{2}=8\newlineD. \newline(x−3)2+(y+2)2=16(x-3)^{2}+(y+2)^{2}=16
  1. Identify Center: Identify the center of the circle from the graph. The center of a circle in the equation (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2 is the point (h,k)(h, k). Without the graph, we cannot visually determine the center, but we can analyze the given options to infer the center coordinates.
  2. Examine Options: Examine the options to determine the possible center of the circle. Options A and C suggest a center at (−3,2)(-3, 2), while options B and D suggest a center at (3,−2)(3, -2). We need to choose between these two possible centers.
  3. Determine Radius: Determine the radius of the circle from the graph. The radius squared, r2r^2, is the number on the right side of the equation. Without the graph, we cannot visually determine the radius, but we can analyze the given options to infer the possible radii.
  4. Examine Radii: Examine the options to determine the possible radii of the circle. Options A and B suggest a radius squared of 88, which means a radius of 8\sqrt{8}. Options C and D suggest a radius squared of 1616, which means a radius of 44.
  5. Need Graph: Without the graph, we cannot proceed further as we need to visually confirm the center and radius of the circle. We need the graph to make an accurate determination of the equation of the circle.

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