“Beware of the man who works hard to learn something, learns it, and finds himself no wiser than before.”
Kurt Vonnegut, Jr.
Transformations on quadratic function. Grade 10.The interactive file below allows you to see what happens to the graph of the function y = x² if we change the formula to y = a(x-h)²+k. Originally a=1, h=0, k=0. The blue graph represents y = x². The red graph represents the transformed graph of y = a(x-h)²+k. At first, drag a slider to see what will be the graph of y = ax². What did you notice? Then try to change k parameter. y = x²+k. What kind of transformation is this? When you change h parameter the graph will be translated to the right or to the left. The function formula you see is the standard form of corresponding vertex form y = a(x-h)²+k. |
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