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Questions and Answers
Which of the following best defines a circle?
Which of the following best defines a circle?
- A polygon with three sides
- A shape with four right angles
- A straight line that never ends
- A closed curve with all points equidistant from the center (correct)
What is the shape of a circle?
What is the shape of a circle?
- Square
- Triangle
- Rectangle
- None of the above (correct)
Which of the following is a characteristic of a circle?
Which of the following is a characteristic of a circle?
- The diameter is twice the radius (correct)
- The perimeter is equal to the area
- All sides are equal in length
- All angles are acute
Which of the following is the correct formula for finding the focus of a parabola in vertex form?
Which of the following is the correct formula for finding the focus of a parabola in vertex form?
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If a parabola has a vertical axis of symmetry, what can be said about the x-coordinate of the focus?
If a parabola has a vertical axis of symmetry, what can be said about the x-coordinate of the focus?
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What is the focus of the parabola $y = \frac{1}{8}x^2$?
What is the focus of the parabola $y = \frac{1}{8}x^2$?
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What is the directrix of a parabola?
What is the directrix of a parabola?
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What are the coordinates of the vertex of the parabola $y = \frac{1}{8}x^2$?
What are the coordinates of the vertex of the parabola $y = \frac{1}{8}x^2$?
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Study Notes
Defining a Circle
- A circle is defined as the set of all points equidistant from a fixed point called the center.
Characteristics of a Circle
- A circle is a shape where every point on the circle is equal distance from the center.
Parabola Characteristics
- A characteristic of a circle is not applicable, as the questions are focused on parabolas.
- The correct formula for finding the focus of a parabola in vertex form is dependent on the vertex form equation.
Focus of a Parabola
- If a parabola has a vertical axis of symmetry, the x-coordinate of the focus is the x-coordinate of the vertex.
- The focus of the parabola y = (1/8)x^2 is (0, 1/4).
Directrix of a Parabola
- The directrix is a line perpendicular to the axis of symmetry, and is equally distant from the vertex and the focus of the parabola.
Vertex of a Parabola
- The coordinates of the vertex of the parabola y = (1/8)x^2 is (0, 0).
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