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Equations of Parabolas and Vertex Form Quiz
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Equations of Parabolas and Vertex Form Quiz

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Questions and Answers

What is the general form of a parabola's equation?

  • y = ax^2 - bx + c
  • y = a(x + h)^2 + k
  • y = ax^2 + bx + c (correct)
  • y = a(x - h)^2 + k
  • What does the 'a' value in the equation y = ax^2 + bx + c determine?

  • The x-intercepts of the parabola
  • The vertex of the parabola
  • The width and direction of the parabola (correct)
  • The axis of symmetry of the parabola
  • What is the relationship between the vertex of a parabola and the values of 'h' and 'k' in the equation y = a(x - h)^2 + k?

  • The vertex is (-h, -k)
  • The vertex is (-h, k)
  • The vertex is (h, k) (correct)
  • The vertex is (h, -k)
  • Aalo andhari bevi haldar path class 11 ka vishay kya hai?

    <p>Bhautik Bhugol</p> Signup and view all the answers

    Aalo andhari bevi haldar path class 11 kis adhyayan ki kitab hai?

    <p>Bhautik Bhugol</p> Signup and view all the answers

    Kaun si class ke vidyarthi ke liye Aalo andhari bevi haldar path upyukt hai?

    <p>Class 11</p> Signup and view all the answers

    Study Notes

    Quadratic Equations and Parabolas

    • The general form of a parabola's equation is y = ax^2 + bx + c.
    • In the equation y = ax^2 + bx + c, the 'a' value determines the shape of the parabola, with a > 0 opening upwards and a < 0 opening downwards.

    Vertex Form of a Parabola

    • The vertex form of a parabola is y = a(x - h)^2 + k.
    • In the equation y = a(x - h)^2 + k, the vertex of the parabola is (h, k), where 'h' represents the horizontal shift and 'k' represents the vertical shift.

    Aalo andhari bevi haldar path

    • Aalo andhari bevi haldar path is a chapter in Class 11.
    • Aalo andhari bevi haldar path is a part of the Environmental Studies (EVS) textbook.
    • This chapter is suitable for Class 11 students.

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    Description

    Test your understanding of the general form of a parabola's equation, the significance of the 'a' value in the equation y = ax^2 + bx + c, and the relationship between the vertex of a parabola and the values of 'h' and 'k' in the equation y = a(x - h)^2 + k.

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