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Questions and Answers
Which of the following is a characteristic of a parabola?
Which of the following is a characteristic of a parabola?
- It is a polygon
- It is a circle
- It is a curve (correct)
- It is a straight line
What is the focus of a parabola?
What is the focus of a parabola?
- The point where all the lines tangent to the parabola intersect (correct)
- The highest point on the parabola
- The point where the parabola intersects the x-axis
- The lowest point on the parabola
What is the equation of a parabola in standard form?
What is the equation of a parabola in standard form?
- y = mx + b
- y = ax + b
- y = mx^2 + b
- y = ax^2 + bx + c (correct)
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Study Notes
Characteristics of a Parabola
- A parabola is a U-shaped graph that opens either upwards or downwards.
Focus of a Parabola
- The focus of a parabola is a point on the axis of symmetry, not on the graph itself.
- It is the point that the parabola curves towards.
Equation of a Parabola in Standard Form
- The standard form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex.
- 'a' determines the shape of the parabola: a > 0 opens upwards, a < 0 opens downwards.
- The vertex is the lowest or highest point on the parabola, depending on the direction it opens.
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