Your SlideShare is downloading. ×
Hyperbolas
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Text the download link to your phone
Standard text messaging rates apply

Hyperbolas

277

Published on

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

  • Be the first to like this

No Downloads
Views
Total Views
277
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
15
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. Rachelle, Kadison, Mason, Chad, and Julia
  • 2.  A hyperbola is the set of all points in theplane in which the difference of the distancesfrom two distinct fixed points is constant. The foci is the constant, that if F1 and F2 arethe foci of the hyperbola and P and Q are anytwo points on the hyperbola. Foci Formula: |PF₁ – PF₂ |= |QF₁ – QF₂ |
  • 3.  Center- the midpoint of the line segmentwhose endpoints are the foci. Formula for center: F₁F₂/2 Vertex- the point on each branch of thehyperbola that is nearest to the center.
  • 4.  Asymptotes- The lines that the curveapproaches as it recedes from the center. Asyou move further out along the branches, thedistance between points on the hyperbolaand the asymptotes approaches zero. Transverse axis- the line segment connectingthe vertices. Also has a length of 2a units. Conjugate axis- the segment perpendicularto the transverse axis through the center.Also has a length of 2b units.
  • 5.  For a hyperbola the relationship among a, b,and c is represented by a2 + b2 =c2. Theasymptotes contain the diagonals of therectangle which the diagonals meet coincideswith the center of the hyperbola. C > a for the hyperbola. For standard for of a hyperbola with it’sorigin as its center can be derived from thefoci are on the x- axis at (c,0) and (-c,0) andthe coordinates of any point on the hyperbolaare (x,
  • 6.  Distance formula: |√((x + c)2 + y2 )- √((x +c)2 + y2 )= |c + a – (c –a)| Hyperbola Formula: |PF2 –PF1 | = |VF2 – VF1| If the foci are on the y-axis, the equation isy2/a2 – x2 /b2 = 1 The standard form of the equation of thehyperbola with center other than the origin isa translation of the parent graph to a centerat (h, k).

×