What is the Hyperbola?
Acc Math 3: Lesson 5
Equation of a Hyperbola
• A hyperbola is bordered by an imaginary
rectangle with width (horizontal) 2a, and
height (vertical) 2b.
– The diagonals of the rectangle form the slant
asymptotes whose equations are
– A hyperbola has two vertices each at
• This is the equation of a hyperbola centered
about the origin
• It is concave both
right and left
Example Graph:
.
• List the vertices, domain and range and slant
asymptotes.
Solving for each part of the graph:
•
•
can also
appear as
• Solve for y
– The top and bottom appears as two separate
curves
Top of Graph
CFU Answers
• 1) No 2) a=3,b=1 vertices: (-3,0);(3,0)
• 3) (0,0) 4) Hint the tick marks can represent
.
anything you want them to represent.
• 4-5 Graph)
• 6)D:
R: ARN
7) +/-1.33
Use #1-3 on HW for examples
• Review Example on HW
• 1-3 on HW
• Handout Review