1. Determining the Function Obtained from a Series of Transformations.
Example #4 Find the function graphed after the following three transformations are applied to the graph of y = x .
1. Shift left 2 units
y = x + 2
y = x
2. Shift up 3 units.
3. Reflect about the y-axis
y = -x

2. Determining the Function Obtained from a Series of Transformations.
Find the function graphed after the following three transformations are applied to the graph of y = x³.
1. Shift right 4 units
y = (x – 4)³
y = (x – 4)³ - 1
2. Shift down 1 units.
y = -(x – 4)³ - 1
3. Reflect about the x-axis