AP Physics 1

Properties Of a Quadratic Line



Move the Coefficient slider bars to explore the properties of a quadratic graph. Look at

  • The effect of changes in a
  • The effect of changes in b
  • The effect of changes in c
  • The effect of a negative values of a
  • The effect of a positive values of a
  • What happens when a = 0 ?
  • See if you can get the curve to just touch the x-axis (y=0)
  • Can you get the "roots" -1.0 and 1.0 ?

General Equation: y = a x2 + b x + c or f(x) = a x2 + b x + c

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Below is a second way to consider the equation of a quadratic equation
where h and k result in the coordinates of the vertex and a alters the shape of the U


General Equation: y = a (x - h)2 + k or f(x) = a (x - h)2 + k

  • The effect of changes in a
  • The effect of changes in h
  • The effect of changes in k
  • The effect of a negative values of a
  • The effect of a positive values of a
  • What happens when a = 0 ?
  • See if you can get the curve to just touch the x-axis (y=0)
  • Can you get the "roots" -1.0 and 1.0 ?
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