6 Questions
What is a parabola?
A set of points equidistant from a fixed point and a fixed line
Which geometric shape results from intersecting a cone with a plane?
Conic section
What is the vertex of a parabola?
The point halfway between the focus and the directrix
What is the line through the focus perpendicular to the directrix called?
"Axis" of the parabola
How does the opening direction of a parabola change when its focus and directrix switch positions?
Changes from downward to upward
What is the relationship between the distance from a point on a parabola to the focus and that same point’s distance to the directrix?
The distances are equal
Explore geometric definitions of parabolas, ellipses, and hyperbolas as well as derive their standard equations. Learn how these shapes are formed by intersecting a cone with a plane. Dive into the properties of parabolas focusing on the axis, focus, directrix, and vertex.
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