Before we can do the transformations, we must change the
form of the final result to show the shrinking and
shifting required:
We factor 4 out in the parentheses in the denominator,
in spite of the fact that it involve a fraction:
Then we square the 4
Then we cancel the 2 into the 16
Then we consider the division by 8 as a multiplication
by 1/8:
----------------------------------------
Now we can begin the transformations:
to
Begin with this red graph:
Shift left by 3/4 by replacing by
That's this green graph:
Shrink by a factor of 1/8, a shrink because 1/8 < 1
That's this blue graph:
Shift downward 1 unit by subtracting 1 from the whole right side:
That's this wine-colored graph at the bottom:
Edwin
