Parabolas Quiz
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Questions and Answers

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?

  • 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?

  • y = mx + b
  • y = ax + b
  • y = mx^2 + b
  • y = ax^2 + bx + c (correct)
  • 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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    Description

    Test your knowledge on parabolas! This quiz will cover characteristics of parabolas, the equation of a parabola in standard form, and the focus of a parabola.

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