

Understanding Parabolas and Their Properties
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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25 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the geometric definition of a parabola?
A set of points equidistant from a fixed point and a fixed line.
A set of points equidistant from two fixed points.
A set of points equidistant from a fixed point.
A set of points equidistant from a fixed line.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does a parabola differ from an ellipse?
A parabola is a closed shape, while an ellipse is open.
A parabola is a circle, while an ellipse is an oval.
A parabola is a line, while an ellipse is a curve.
A parabola is defined by a single focus and directrix, while an ellipse is defined by two foci.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the directrix in a parabola?
It is a fixed line equidistant from any point on the parabola.
It is the vertex of the parabola.
It is the axis of symmetry.
It is a fixed point equidistant from any point on the parabola.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the focus in a parabola?
It is the vertex of the parabola.
It is the axis of symmetry.
It is a fixed line equidistant from any point on the parabola.
It is a fixed point equidistant from any point on the parabola.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the focus and directrix in a parabola?
Any point on the parabola is equidistant from both.
They are the same point.
The focus is always above the directrix.
The directrix is always above the focus.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a challenge when graphing a parabola in standard form?
The standard form does not exist for parabolas.
The parabola cannot be graphed without a calculator.
It is impossible to find the vertex.
Identifying shifts and stretches is not straightforward.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in converting a parabola to vertex form?
Completing the square.
Graphing the function directly.
Using the quadratic formula.
Finding the intercepts.
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