I've included the following 8 transformations:
- A constant added to or subtracted from a function shifts its graph vertically.
- A constant added to or subtracted from a function's input shifts its graph horizontally.
- Multiplying a function by a constant stretches or squishes the function vertically.
- Multiplying a function's input by a constant stretches or squishes the function horizontally.
- Multiplying a function by a negative number causes its graph to reflect over the x-axis.
- Multiplying a function's input by a negative number causes its graph to reflect over the y-axis.
- Taking the absolute value of a function moves all the points on its graph above the x-axis.
- Taking the absolute value of a function's input causes the left side of the graph to clone the right side.