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Questions and Answers
What is a parabola?
What is a parabola?
- A set of points equidistant from two fixed points
- A set of points equidistant from a fixed point and a fixed line (correct)
- A set of points intersecting a sphere
- A set of points with a constant width
Which geometric shape results from intersecting a cone with a plane?
Which geometric shape results from intersecting a cone with a plane?
- Cube
- Cylinder
- Sphere
- Conic section (correct)
What is the vertex of a parabola?
What is the vertex of a parabola?
- The directrix
- The focus
- The point halfway between the focus and the directrix (correct)
- The intersection point with the axis
What is the line through the focus perpendicular to the directrix called?
What is the line through the focus perpendicular to the directrix called?
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How does the opening direction of a parabola change when its focus and directrix switch positions?
How does the opening direction of a parabola change when its focus and directrix switch positions?
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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?
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?
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