Focus and Directrix
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the focus of a parabola?
Back
The focus is a point that always lies inside your parabola.
2.
FLASHCARD QUESTION
Front
What is the directrix of a parabola?
Back
The directrix is a line that always lies outside your parabola.
3.
FLASHCARD QUESTION
Front
What is the mini formula we use to find the FOCUS of a parabola?
Back
The focus can be found using the coordinates (h, k + p) or (h, k - p) depending on the orientation of the parabola.
4.
FLASHCARD QUESTION
Front
What is the formula for the axis of symmetry of a parabola?
Back
The formula for the axis of symmetry is x = h.
Tags
CCSS.4.G.A.3
5.
FLASHCARD QUESTION
Front
What is the relationship between the distance from any point on the parabola to the focus and the distance to the directrix?
Back
The distance from any point on the parabola to the focus is the same as the distance from that same point to the directrix.
6.
FLASHCARD QUESTION
Front
What does the variable 'p' represent in the context of a parabola?
Back
The variable 'p' represents the distance from the vertex to the focus or the vertex to the directrix.
7.
FLASHCARD QUESTION
Front
How do you determine the vertex of a parabola given its focus and directrix?
Back
The vertex is located halfway between the focus and the directrix.
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