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Transformation of Functions

page 269

Draw a quadratic function, f(x). What effect does adding a constant to the output, y-coordinates, have on the graph?

What effect does adding a constant to the inputs, x-coordinates have on the graph?

What effect does multiplying by -1 have on the graph?

Draw a cubic function by writing it in factor form. What effect does multiply by a constant, a have? Investigate for a>1, a<1 and a<0