10.4 The HyperbolaObjective: Find the equation, vertices, foci, andasymptotes of hyperbolas.Standard: Math Analysis 5.0
Definition of a Hyperbola: The set of all points equidistant from ____________ ________ where the __________ is constant.M...
Standard Equation:Center:Vertices:Foci:Asymptotes:
Why asymptotes?
Ex. 1) Graph and label the vertices, foci, and asymptotes.
Ex. 2) Find the standard form of the hyperbola with fociat (0, 0) and (8, 0) and vertices at (3, 0) and (5, 0).
Ex. 3) Find the standard form of the hyperbola havingvertices at (2, 3) and (2, 9) and asymptotes of slope ±3/2.
Ex. 4) Find the slopes of the asymptotes of thehyperbola given by the equation:
Ex. 5) Find the foci of the hyperbola with the equation:
Assignment:#28 p. 760#9, 10, 13-16, 22, 23,27, 28, 45-55 (odd)
Pc 10.4 notes_hyperbola
Pc 10.4 notes_hyperbola
Pc 10.4 notes_hyperbola
Upcoming SlideShare
Loading in...5
×

Pc 10.4 notes_hyperbola

415

Published on

Hyperbolas and their equations.

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
415
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
13
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Pc 10.4 notes_hyperbola

  1. 1. 10.4 The HyperbolaObjective: Find the equation, vertices, foci, andasymptotes of hyperbolas.Standard: Math Analysis 5.0
  2. 2. Definition of a Hyperbola: The set of all points equidistant from ____________ ________ where the __________ is constant.Major axis is called the _____________ axis
  3. 3. Standard Equation:Center:Vertices:Foci:Asymptotes:
  4. 4. Why asymptotes?
  5. 5. Ex. 1) Graph and label the vertices, foci, and asymptotes.
  6. 6. Ex. 2) Find the standard form of the hyperbola with fociat (0, 0) and (8, 0) and vertices at (3, 0) and (5, 0).
  7. 7. Ex. 3) Find the standard form of the hyperbola havingvertices at (2, 3) and (2, 9) and asymptotes of slope ±3/2.
  8. 8. Ex. 4) Find the slopes of the asymptotes of thehyperbola given by the equation:
  9. 9. Ex. 5) Find the foci of the hyperbola with the equation:
  10. 10. Assignment:#28 p. 760#9, 10, 13-16, 22, 23,27, 28, 45-55 (odd)
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×