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Mathematics Dictionary
Dr. K. G. Shih
Quadratic Functions
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Q01. In the quadratic function web page we will learn following questions

Genreral questions
  • 1. What is quadratic function ?
  • 2. What is the diagram of a quadtic functions ?
  • 3. How to find factors of a qudractic function ?
  • 4. What is the completing square method ?
  • 5. What is the discriminant of a quadratic functions ?
  • 6. How to find the vertex of a quadratic functions ?
  • 7. What is the quadratic formula of a quadratic functions ?
  • 8. Properties of quadratic functions.
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Q02. Q01. In the quadratic function web page we will also learn following questions

Advanced questions

  • 1. What is the 2nd difference of a quadratic functions ?
  • 2. Intersections of quadratic functions with its inverse.
  • 3. Intersections of quadratic functions with y = 1/x.
  • 4. Intersections of quadratic functions with y = m*x + n.
  • 5. Graph of y = a*x^2 + b*|x| + c.
  • 6. Graph of y = |a*x^2 + b*x + c|.
  • 7. Graph of y = |a*x^2 + b*|x| + c|.
  • 8. Parabola
    • The principal axis of y = a*x^2 + b*x + c is x = -b/(2*a).
    • The vertex is at (h,k) for function y - k = (x - h)/(2*D).
    • The distance from focus to directrix is D and D = 1/(2*a).
    • The coordinates of focus is (h,k+D/2).
    • The equation of directrix is y = k - D/2.
  • 9. Parabola in polar form
    • R = D/(1-sin(A)) : Open upward.
    • R = D/(1+sin(A)) : Open downward.
    • R = D/(1-cos(A)) : Open rightward.
    • R = D/(1+cos(A)) : Open leftward.
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Q03. Diagrams of parabola

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Q04. Answer
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Q05. Answer
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Q06. Answer
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Q07. Answer
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Q08. Answer
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Q09. Answer
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Q10. Answer
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