Warmup 9/30/15 To determine the shape of a conic function based on the equation pp 132: 4, 5, 7, 11 Objective Tonight’s Homework

Homework Help Let’s spend the first 10 minutes of class going over any problems with which you need help.

Notes on Equations of Conic Sections You’ll recall that if we cut a cone, we can get either a circle, an ellipse, a parabola, or a hyperbola. But given an equation, how can we tell which is which?

Notes on Equations of Conic Sections Parabola: If we have an x 2 and a y

Notes on Equations of Conic Sections Parabola: If we have an x 2 and a y Circle: If we have an x 2 and a y 2 and the coefficients are the same.

Notes on Equations of Conic Sections Parabola: If we have an x 2 and a y Circle: If we have an x 2 and a y 2 and the coefficients are the same. Ellipse: If we have an x 2 and a y 2 and the coefficients are not the same.

Notes on Equations of Conic Sections Parabola: If we have an x 2 and a y Circle: If we have an x 2 and a y 2 and the coefficients are the same. Ellipse: If we have an x 2 and a y 2 and the coefficients are not the same. Hyperbola: If we have an x 2 and a y 2, the coefficients are not the same and x and y have different sign.

Group Practice Look at the example problems on pages 131 and 132. Make sure the examples make sense. Work through them with a friend. Then look at the homework tonight and see if there are any problems you think will be hard. Now is the time to ask a friend or the teacher for help! pp 132: 4, 5, 7, 11

Exit Question What kind of conic section is being modeled with... x 2 + y 2 - 8x + 6y = 0 a) Ellipse b) Hyperbola c) Parabola d) Circle e) This isn’t a conic section equation