7.6 Conics https://www.youtube.com/watch?v=GDHNoQHQmtQ
Conics
Parabola A parabola is the set of all points equidistant from a line and a fixed point not on the line. The line is called the directrix, and the point is called the focus. The point on the parabola halfway between the focus and the directrix is the vertex.
Ellipse the set of points such that the sum of the distances to two fixed points (the foci) is constant.
Circle
Hyperbola the set of points in a plane whose distances to two fixed points in the plane have a constant difference
Trouble in Paradise… How do I graph these equations…
Use Polar Equations!!! Example: parabola Check the eccentricity
Conics To analyze a polar equation, put the equation in standard form Then check the eccentricity If 0 < e < 1, then the conic is an ellipse If e = 1, then the conic is a parabola If e > 1, then the conic is an hyperbola
Polar Equations Determine the eccentricity and type of conic. Then graph!
Homework Pg 566 #2-8 even, 30-33 all Test on 4/24!