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Exploration 1D: Transformations of Exponential Functions

Author:bnewhous
In past lessons, you studied transformations of linear and polynomial functions. Use what you have learned about parameters  m, b, a, h, and k  to predict how the graph of the parent function y = 2x will be transformed by each function in the table.  Ask yourself whether the graph will be shifted horizontally or vertically, right or left, stretched or shrunk, or reflected across a mirror line.  Insert the letter of your prediction in the table.

Linear: y = mx + b Quadratic: y = a+ k

Prediction for transformation of graph of the parent function y = . The graph will be: a. shifted vertically  by ______ units.

Prediction for transformation of graph of the parent function y = . The graph will be: stretched/widened by a factor of _____ units.

Prediction for transformation of graph of the parent function y = . The graph will be: c. shrunk/narrowed by a factor of ______ units.

Prediction for transformation of graph of the parent function y = . The graph will be: d. reflected about the x-axis.

Prediction for transformation of graph of the parent function y = . The graph will be: e. reflected about y-axis.

Prediction for transformation of graph of the parent function y = . The graph will be:

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