Graphical Transformations for IPY3Y4 Math
Download printable cheat-sheet (CC-BY 4.0)24 Aug 2025, 16:00 Z
Join our Telegram study groupQ: What does Graphical Transformations for IPY3Y4 Math cover?
A: Step by step guide on graphical transformations
y = f (x)
| Number | Transformation | Effect on graph |
| 1 | y = f (x) + a | Translation of a units along the y-axis |
| 2 | y = f (x + a) | Translation of -a units along the x-axis |
| 3 | y = af(x) | Scaling parallel to y-axis by a factor of a units |
| 4 | y = -f(ax) | Scaling parallel to x-axis by a factor of 1/a units |
| 5 | y = -f(x) | Reflection about the x-axis |
| 6 | y = f(-x) | Reflection about the y-axis |
In layman terms: 1\) move the graph up or down by a units
2\) move the graph right or left by a units
3\) multiply all y-coordinate values by a
4\) multiply all x-coordinate values by 1/a
5\) multiply all y-coordinate values by negative (negative values move up, positive values move down)
