# Hyperbolas [Recovered]

Algebra II hyperbolas

# Hyperbolas [Recovered]

Created 3 years ago

Duration 0:22:28
392
Slide Content
1. ### Slide 1 - Hyperbola

• A and C are opposite signs
• Both squared terms have opposite signs
2. ### Slide 2 - Horizontal Hyperbola:

• Center (h,k)
• a
• Vertex
• a
• Vertex
• b
• b
• c
• Focus
• c
• Focus
• Plus!
• Transverse Axis
3. ### Slide 3 - Vertical Hyperbola:

• Plus!
• Notice!
• Center (h,k)
• a
• Vertex
• a
• Vertex
• b
• b
• c
• Focus
• c
• Focus
• Transverse Axis
4. ### Slide 4 - Center:

• Vertices:
• Length of Transverse Axis:
• Asymptotes:
• Eccentricity:
• Horizontal Hyperbola
• (always > 1 for hyperbola)
5. ### Slide 5 - Ex. 2

• Complete the Square to change to Vertex Form
• Group x2 and x, group y2 and y, move constant to other side
• Factor coefficients of x2 and y2
• Complete the square twice
6. ### Slide 6

• Add the product of the coefficient of x2 and 1, as well as the product of the coefficient of y2 and 36 to the right side ONLY!!
• Factor Perfect Square Trinomials
• Divide both sides by the constant term
7. ### Slide 7 - Center:

• Vertices:
• Length of Transverse Axis:
• Asymptotes:
• Eccentricity:
• Vertical Hyperbola
• (always > 1 for hyperbola)

9. ### Slide 9 - Try on Your Own!!

• 1.  Determine if each hyperbola is vertical or horizontal:
• 2.  Write this hyperbola’s equation in vertex form:
• 3.  Graph the following hyperbola.  State the center, foci, length of transverse axis, vertices, equations of asymptotes, and eccentricity.