Circles and Parabolas

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a circle in a coordinate plane?
Back
A circle is the set of all points in a plane that are equidistant from a fixed point called the center. The standard 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
2.
FLASHCARD QUESTION
Front
What is the standard form of a parabola that opens upwards?
Back
The standard form of a parabola that opens upwards is given by the equation y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
What is the focus of a parabola?
Back
The focus of a parabola is a fixed point located inside the curve, which is used to define the parabola. It is equidistant from the directrix and any point on the parabola.
4.
FLASHCARD QUESTION
Front
What is the directrix of a parabola?
Back
The directrix of a parabola is a fixed line used in the definition of the parabola. It is located opposite the focus and is perpendicular to the axis of symmetry.
5.
FLASHCARD QUESTION
Front
How do you find the radius of a circle from its equation?
Back
To find the radius of a circle from its equation in standard form (x - h)² + (y - k)² = r², take the square root of r².
Tags
CCSS.HSG.GPE.A.1
6.
FLASHCARD QUESTION
Front
What is the relationship between the focus and directrix of a parabola?
Back
For any point on the parabola, the distance to the focus is equal to the distance to the directrix.
7.
FLASHCARD QUESTION
Front
What is the equation of a circle with center at (0, 0) and radius 3?
Back
The equation of the circle is x² + y² = 9.
Tags
CCSS.HSG.GPE.A.1
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