Transformation

Function notation for the parent function of a quadratic is f(x) = x2. A function transformation takes the basic function f(x) and then "transforms" it, so that the graph will become more wide or narrow, reflect across the x-axis, or translate up, down, left or right.

To translate the graph of a quadratic function, you can use the vertex form, y = a(x - h) 2 + k.

  • The h-value will translate the graph to the right when it is negative and to the left when it is positive.
  • The k-value will translate the graph up when it is positive and down when it is negative.

Example The equation, Transformations1-2 , represents what translation of the parent function, Tansformations1-2 ?

Since the h -value is negative, the translation will be 3 units to the right. Since the k -value is positive, the translation will be up 4 units.

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