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Ellipse

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  • 1. Aim: How do we graph, recognize, and write the equation of an ellipse? MB43 3/17/09 Lomas Do Now: Is the circle x 2 + (y - 2) 2 = 9 a function? How would you graph it on the calculator? HW Review: 13, 17, 21 HW: Read 523-525 Do 527-8 #2-8even
  • 2. Aim: How do we graph, recognize, and write the equation of an ellipse? What is the equation of a circle with a center at the origin? The equation of an ellipse with a center at the origin looks like: px 2 + qy 2 = s MB43 3/17/09 Lomas HW: Read 523-525 Do 527-8 #2-8even
  • 3.  
  • 4. Aim: How do we graph, recognize, and write the equation of an ellipse? But the form px 2 + qy 2 = s isn't very useful. It doesn't tell us anything about the ellipse in that form. The form x 2 + y 2 = 1 a 2 b 2 is much more useful because ± a are the x-intercepts and ± b are the y-intercepts MB43 3/17/09 Lomas HW: Read 523-525 Do 527-8 #2-8even
  • 5.  
  • 6. Aim: How do we graph, recognize, and write the equation of an ellipse? 4x 2 + 9y 2 = 36 is an ellipse, let's change it into the form that's useful and graph Major Axis Minor Axis MB43 3/17/09 Lomas HW: Read 523-525 Do 527-8 #2-8even
  • 7. Aim: How do we graph, recognize, and write the equation of an ellipse? Last thing: How does the equation of a circle change when the center changes from the origin to another point? The equation of an ellipse changes the same way so an ellipse can be translated by (h,k) using (x-h) 2 + (y-k) 2 = 1 a 2 b 2 MB43 3/17/09 Lomas HW: Read 523-525 Do 527-8 #2-8even
  • 8.  
  • 9. Aim: How do we graph, recognize, and write the equation of an ellipse? Find the x-intercepts, the y-intercepts and graph x 2 + 4y 2 = 4 16x 2 + 4y 2 = 64 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 3/17/09 Lomas HW: Read 523-525 Do 527-8 #2-8even
  • 10.