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Answer:
- The function must be shifted right 1 unit.
- The function must be shifted up 4 units.
- The function must be stretched vertically by a factor of 3.
Step-by-step explanation:
There are some transformations for a function f(x):
If , then the function is shifted up "k" units.
If , then the function is shifted down "k" units.
If , then the function is shifted left "k" units.
If , then the function is shifted right "k" units.
If and
, then the function is stretched vertically by a factor of "b".
If and
, then the function is compressed vertically by a factor of "b".
In this case we have the following parent function :
And the function :
Based on the explained before, we can describe the transformations necessary to transform the graph of to the graph of
:
- The function must be shifted right 1 unit.
- The function must be shifted up 4 units.
- The function must be stretched vertically by a factor of 3.