Lesson29_students_

Lesson29_students_ - MA 15400 Lesson 29 Section 11.3...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Lesson 29 Section 11.3 Hyperbolas 1 A hyperbola is the set of all points in a plane, the difference of whose distances from two fixed points (the foci ) in the plane is a positive constant. The midpoint of the two foci is the center of the hyperbola. (Centers are marked with C.) The foci are c units from the center. The points where the hyperbola intersects the line joining the foci are the vertices . The vertices are a units from the center. In a hyperbola c > a , where in an ellipse a > c . There are two axes: 1) The line segment V'V is the transverse axis . The foci lie beyond the endpoints of the transverse axis. The length of a transverse axis is 2 a . 2) The graph does not cross the other axis, the conjugate axis . Its endpoints, W and W', are not points on the hyperbola, however, are very important in creating an auxiliary rectangle that assists in sketching the graph. The length of a conjugate axis is 2 b . (See the next page.) There are two ‘branches’ of a hyperbola. If the foci are on a horizontal line, the ‘branches’ are opening left and right. If the foci are on a vertical line, the ‘branches’ are opening up and down. The foci will lie ‘inside’ the ‘branches’. C
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/30/2012 for the course MA 154 taught by Professor Delworth during the Spring '08 term at Purdue.

Page1 / 8

Lesson29_students_ - MA 15400 Lesson 29 Section 11.3...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online