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Transformation of Polynomial Functions

3.5 Transformations of Polynomial Functions

Transformations with Power Functions

  • Recall that power functions has the form y=x^n, where is a real number. We have looked into cases where is a rational number, which includes positive and negative whole numbers and fractions.
  • Transformation can be applied on power functions. The transformed equation simply take the general form of f(x)=a(b(x-c))^{n}+d, where a,\ b,\ c,\ d are real numbers.

i) If it is a reflection, we have b=-1 or a=-1.

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