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Earn +20 ptsQ: How many points are needed to determine a parabola?
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How many points are needed to define a plane?
3
How many points are needed to name a plane?
zero
How many foci does a parabola have?
A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■
What is a parabola that opens to the right called?
It is a square root mapping. This is not a function since it is a one-to-many mapping.
Is a horizontal parabola a function?
No. Because apart from its apex, any point on the x-axis is mapped to two points - one above the x axis and one below. A function cannot be a one-to-many mapping.
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