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What is the Hyperbola?

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

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What is the Hyperbola?

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  1. What is the Hyperbola? Acc Math 3: Lesson 5

  2. 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

  3. Example Graph: . • List the vertices, domain and range and slant asymptotes.

  4. Solving for each part of the graph: • can also • appear as • Solve for y • The top and bottom appears as two separate curves

  5. Top of Graph

  6. 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

  7. Use #1-3 on HW for examples • Review Example on HW • 1-3 on HW • Handout Review

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