Graph information to Equation (going the other direction)

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Presentation transcript:

Graph information to Equation (going the other direction) 10-1 Ellipses Graph information to Equation (going the other direction)

Homework Along with the book assignment I want you to do one other problem. Using a calculator, find 4 points that fit the equation You may NOT list the points (2,0) or (-2,0)

Lets just look at this standard form, the fumble, to see exactly what we need. You need the center, a and b, right? Does this change with a kickoff? So, how can we be given this information?

Center You could be given The center Major Axis (MA) endpoints Minor Axis (ma) endpoints Foci Why?

a You could be given Major Axis (MA) endpoints Major Axis Length Foci and minor axis information Why?

b You could be given Minor Axis (ma) endpoints Minor Axis Length Foci and major axis information Why?

Don’t forget! You also need the orientation!! I would TRULY suggest always doing a quick little sketch to see the axes orientation. A longer vertical axis is a A longer horizontal axis is a kickoff fumble

Examples Center (1, 1); Focus (1, 3); Vertex (1, -9) 2. Foci (4,2) and (8, 2); MA endpoints (3, 2), (9, 2) 3. ma endpoints (3, 2), (9, 2); c = 3