
Hyperbola 1
Flashcard
•
Mathematics
•
KG - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a hyperbola?
Back
A hyperbola is a type of conic section that appears as two separate curves, known as branches, which open away from each other.
2.
FLASHCARD QUESTION
Front
What are the two types of hyperbolas?
Back
Vertical hyperbola and horizontal hyperbola.
3.
FLASHCARD QUESTION
Front
How can you identify a vertical hyperbola?
Back
A vertical hyperbola opens upwards and downwards, and its standard form is (y-k)²/a² - (x-h)²/b² = 1.
4.
FLASHCARD QUESTION
Front
What are the vertices of a hyperbola?
Back
The vertices are the points where the hyperbola intersects its transverse axis.
5.
FLASHCARD QUESTION
Front
What is the standard form of a hyperbola?
Back
The standard form of a hyperbola is (y-k)²/a² - (x-h)²/b² = 1 for vertical hyperbolas and (x-h)²/a² - (y-k)²/b² = 1 for horizontal hyperbolas.
6.
FLASHCARD QUESTION
Front
What are the foci of a hyperbola?
Back
The foci are the points located along the transverse axis, outside the vertices, that help define the shape of the hyperbola.
7.
FLASHCARD QUESTION
Front
How do you find the distance to the foci from the center of a hyperbola?
Back
The distance to the foci is found using the formula c = √(a² + b²), where 'c' is the distance to the foci, 'a' is the distance to the vertices, and 'b' is related to the distance between the branches.
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