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# Ellipse2

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### Ellipse2

1. 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. 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. 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. 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