Presentation is loading. Please wait.

Presentation is loading. Please wait.

What is it?. Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from.

Similar presentations


Presentation on theme: "What is it?. Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from."— Presentation transcript:

1 What is it?

2 Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from P to two fixed points in the plane, F 1 and F 2, called the foci, is a constant. 9.5 Hyperbolas

3 Transverse axis Conjugate Axis Vertices Co-vertices Center Foci Asymptotes (2a) length of V to V (2b) length of CV to CV Endpoints of TA Endpoints of CA Intersection of the 2 axes Lie on inside of hyperbola Horizontal Vertical (When centered at the origin) 9.5 Hyperbolas

4 Notes:  a 2 is always the denominator of the ________ term when the equation is written in standard form.  _________ axis can be longer or ____________  The length of the transverse axis is _________ he length of the conjugate axis is _________  a 2 + b 2 = c 2 9.5 Hyperbolas 1st Eithershorter 2a 2b

5 a 2 always comes 1 st !

6 Example 1: Write the standard equation of the hyperbola with vertices (-4,0) and (4,0) and co-vertices (0, -3) and (0, 3). Sketch the graph.

7 Example 2: Write the standard equation of the hyperbola with V (0,-4) (0, 4) and CV(-7, 0) (7, 0) a= b= c= V: CV: Foci: Center:

8 Example 5: Find the equation of the asymptotes and the coordinates of the vertices for the graph of Then graph the hyperbola. a= b= c= V: CV: Foci: Center:


Download ppt "What is it?. Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from."

Similar presentations


Ads by Google