1) Find the eccentricities of the curves on the board. 2) If you are given an eccentricity of e = 0.75, what do you know about i) the type of curve you have ii) the value of "b" on this curve 3) You are given a hyperbola on this sheet. Please drag the points "DRAG", "F1", "F2" etc. Record your observations below using the guide questions: i) what happens to the "branches" of the hyperbola as you move the focus closer to the vertex? ii) how are D1, D2, and the length of the transverse axis related?
Fill in the blanks for the following statement: A hyperbola is the locus containing all points for whom the ____________________ of the distances to the ____________________ is always the same.