
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 foci of a hyperbola?
Back
The foci are two fixed points located along the transverse axis of the hyperbola, which help define its shape.
3.
FLASHCARD QUESTION
Front
What are the vertices of a hyperbola?
Back
The vertices are the points where the hyperbola intersects its transverse axis.
4.
FLASHCARD QUESTION
Front
What is the center of a hyperbola?
Back
The center is the midpoint between the two foci and is the point where the hyperbola is symmetric.
5.
FLASHCARD QUESTION
Front
What are the asymptotes of a hyperbola?
Back
Asymptotes are lines that the hyperbola approaches but never touches, guiding the shape of the branches.
6.
FLASHCARD QUESTION
Front
How do you find the distance between the foci of a hyperbola?
Back
The distance between the foci is calculated using the formula 2c, where c is the distance from the center to each focus.
7.
FLASHCARD QUESTION
Front
What is the standard form of a hyperbola's equation?
Back
The standard form is (x-h)²/a² - (y-k)²/b² = 1 for horizontal hyperbolas and (y-k)²/a² - (x-h)²/b² = 1 for vertical hyperbolas.
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