Graph using a mapping rule and a table of values for transformations of the function
.
As the text book points out, state the transformations that has occurred for from this write a mapping rule and then create a new table of values from the basic table of values for
.
Negative exponent represents a reflection in the y-axis
Vertical translation VT = 3
Horizontal Translation HT = -1
Mapping Rule
Table of Values:
|
Note the new table is easiest found by using the mapping rule. For example to find the image point for use the mapping rule as follows:
Graph each function: (Note the curve in red is ,which need not be drawn, and the one in black is
)
This graph may also be obtained by using the transformations as follows: