HPC Ch. 12 Parabolas (Conics)

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a parabola?
Back
A parabola is a U-shaped curve that is defined as the set of all points equidistant from a fixed point called the focus and a fixed line called the directrix.
2.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point on the parabola, depending on its orientation. It is the point where the parabola changes direction.
3.
FLASHCARD QUESTION
Front
What is the directrix of a parabola?
Back
The directrix is a fixed line used in the definition of a parabola. It is perpendicular to the axis of symmetry and is located opposite the focus.
4.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical or horizontal line that divides the parabola into two mirror-image halves.
5.
FLASHCARD QUESTION
Front
How do you determine the direction a parabola opens?
Back
The direction a parabola opens can be determined by the sign of the coefficient in the quadratic equation: positive opens up or right, negative opens down or left.
6.
FLASHCARD QUESTION
Front
What is the standard form of a vertical parabola?
Back
The standard form of a vertical parabola is (x-h)² = 4p(y-k), where (h,k) is the vertex and p is the distance from the vertex to the focus.
7.
FLASHCARD QUESTION
Front
What is the standard form of a horizontal parabola?
Back
The standard form of a horizontal parabola is (y-k)² = 4p(x-h), where (h,k) is the vertex and p is the distance from the vertex to the focus.
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