Parts of a Parabola Worksheet
Identify and understand the key components of a parabola, including the vertex, focus, directrix, and axis of symmetry.
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Parts of a Parabola
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Read each question carefully and answer to the best of your ability. Use the provided diagrams to help you identify the parts of a parabola.
1. Label the indicated parts of the parabola below.
A:
B:
C:
D:
2. The point on the parabola where it changes direction is called the:
Focus
Directrix
Vertex
Axis of symmetry
3. Which of the following defines a parabola?
A set of points equidistant from two fixed points.
A set of points equidistant from a fixed point (focus) and a fixed line (directrix).
A closed curve where the sum of the distances from two foci is constant.
A curve formed by the intersection of a plane and a double-napped cone.
4. The is a line that passes through the vertex and the focus of a parabola.
5. Every point on a parabola is from the focus and the directrix.
6. The equation of a parabola can be written in the form y = ax² + bx + c, which is called the form.
7. A parabola always opens upwards.
True
False
8. The directrix is a point.
True
False
9. Describe the relationship between the focus, directrix, and any point on a parabola.