Vocabulary
Word  Definition 
____________  Also called translation or slide; a transformation applied to the graph of a function which does not change the shape of the graph, only the location 
____________  a result of adding a constant term to the value of a function; moves up or down 
Horizontal Shift  _________________________________________________________________ 
Reflection 
_________________________________________________________________ 
____________  A transformation which results in the width of a graph being increased or decreased; the result of the coefficient of the x term being between 0 and 1. 
Compression  _________________________________________________________________ 
What transformations must be applied to , in order to graph ?
Practice
Answer the following questions:
 If a function is multiplied by a coefficient, what will happen to the graph of the function?
 What does multiplying x by a number greater than one create?
 What happens when we multiply x by a number between 0 and 1
 In order to obtain a reflection over the y axis what do we have to do to x?
 How do we obtain a reflection over the xaxis?
 Write a function that will create a horizontal compression of the following:
 Write a function that will horizontally stretch the following:
 Rewrite this function to get a reflection over the xaxis.
 Rewrite this function to get a reflection over the yaxis.
Graph each of the following using transformations. Identify which transformations are used.
Answer the following questions:
 What part of the function shifts the graph of vertically?
 What part of the function reflects the graph of across the xaxis?
 What is different between the functions and that changes the appearance of the graph?
 Write a function whose graph looks like the graph of reflected across the xaxis and shifted up 1 unit.

How do you transform the graph of: so that it looks like the graph of:
 Stretch it by a factor of ¼ and shift it up 6 units.
 Stretch it by a factor of 6 and shift it left 4 units.
 Stretch it by a factor of 4 and shift it down 6 units.
 Stretch it by a factor of 4 and shift it up 6 units.
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