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Ellipse2

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This document discusses how to graph, recognize, and write the equation of an ellipse. It provides the standard form of an ellipse equation (x-h)2 + (y-k)2 = a2/b2, explaining that a and b represent the lengths of the ellipse's semi-major and semi-minor axes, and h and k are the x and y coordinates of the ellipse's center. Several examples are worked through, finding the center, axes lengths, and graphing ellipses from their equations. The last example asks the reader to write the equation of an ellipse given its center and axes lengths.

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Aim: How do we graph, recognize, and write the equation of an ellipse? MB43 3/18/09 Lomas Do Now: What shape is each? How do you know? x 2 + (y - 2) 2 = 9 x 2 + (y - 1) = 16 3x 2 + (y - 2) 2 = 9 2x 2 + 2y 2 = 18 3x 2 + y 2 = 16 3x + y = 16 HW Review: 6 HW: Read 523-525 Do 527-8 #1-7odd
Aim: How do we graph, recognize, and write the equation of an ellipse? Equation of an ellipse (x-h) 2 + (y-k) 2 = 1 a 2 b 2 MB43 3/18/09 Lomas Describe what a, b, h and k are... HW: Read 523-525 Do 527-8 #1-7odd
Aim: How do we graph, recognize, and write the equation of an ellipse? Find the center, a, b, and graph each: (x-2) 2 + 4(y+1) 2 = 4 5x 2 + y 2 = 25 What is the equation of an ellipse whose center is at (3,2) whose major axis is a segment of the x-axis (horizontal) of length 12 and whose minor axis has a length 8. MB43 3/18/09 Lomas HW: Read 523-525 Do 527-8 #1-7odd
Aim: How do we graph, recognize, and write the equation of an ellipse? Find the center, a, b, and graph each: x 2 + 9(y+1) 2 = 36 4(x+3) 2 + 16y 2 = 64 What is the equation of an ellipse whose center is at (-4,1) whose major axis is a segment of the y-axis (horizontal) of length 6 and whose minor axis has a length 10. MB43 3/18/09 Lomas HW: Read 523-525 Do 527-8 #1-7odd
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Ellipse2

  • 1. Aim: How do we graph, recognize, and write the equation of an ellipse? MB43 3/18/09 Lomas Do Now: What shape is each? How do you know? x 2 + (y - 2) 2 = 9 x 2 + (y - 1) = 16 3x 2 + (y - 2) 2 = 9 2x 2 + 2y 2 = 18 3x 2 + y 2 = 16 3x + y = 16 HW Review: 6 HW: Read 523-525 Do 527-8 #1-7odd
  • 2. Aim: How do we graph, recognize, and write the equation of an ellipse? Equation of an ellipse (x-h) 2 + (y-k) 2 = 1 a 2 b 2 MB43 3/18/09 Lomas Describe what a, b, h and k are... HW: Read 523-525 Do 527-8 #1-7odd
  • 3. Aim: How do we graph, recognize, and write the equation of an ellipse? Find the center, a, b, and graph each: (x-2) 2 + 4(y+1) 2 = 4 5x 2 + y 2 = 25 What is the equation of an ellipse whose center is at (3,2) whose major axis is a segment of the x-axis (horizontal) of length 12 and whose minor axis has a length 8. MB43 3/18/09 Lomas HW: Read 523-525 Do 527-8 #1-7odd
  • 4. Aim: How do we graph, recognize, and write the equation of an ellipse? Find the center, a, b, and graph each: x 2 + 9(y+1) 2 = 36 4(x+3) 2 + 16y 2 = 64 What is the equation of an ellipse whose center is at (-4,1) whose major axis is a segment of the y-axis (horizontal) of length 6 and whose minor axis has a length 10. MB43 3/18/09 Lomas HW: Read 523-525 Do 527-8 #1-7odd
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