Classifying Conic Sections (Graphs)
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a conic section?
Back
A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.
Tags
CCSS.7.G.A.3
2.
FLASHCARD QUESTION
Front
What is the general equation of a circle?
Back
The general equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
Tags
CCSS.HSG.GPE.A.1
3.
FLASHCARD QUESTION
Front
What is the standard form of an ellipse?
Back
The standard form of an ellipse centered at (h, k) is (x - h)²/a² + (y - k)²/b² = 1, where a and b are the semi-major and semi-minor axes.
Tags
CCSS.HSG.GPE.A.1
4.
FLASHCARD QUESTION
Front
What is the standard form of a hyperbola?
Back
The standard form of a hyperbola centered at (h, k) is (x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/a² - (x - h)²/b² = 1.
5.
FLASHCARD QUESTION
Front
What is the equation of a parabola that opens upwards?
Back
The equation of a parabola that opens upwards with vertex (h, k) is (x - h)² = 4p(y - k), where p is the distance from the vertex to the focus.
6.
FLASHCARD QUESTION
Front
How do you identify a circle from its equation?
Back
A circle can be identified from its equation if it is in the form (x - h)² + (y - k)² = r², where r is a positive number.
Tags
CCSS.HSG.GPE.A.1
7.
FLASHCARD QUESTION
Front
What distinguishes an ellipse from a circle?
Back
An ellipse is distinguished from a circle by having two different axes (major and minor), while a circle has a constant radius from the center.
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