Mapping rule is how you get the table of values from a transformed graph.
Mapping Notation
How you write the transformation of X and Y transformations. “(1/k(x)+d , ay+c) written like coordinates of (x,y) for example, with the f(x) = -2((1/2)(x-3))^3 - 5 a = -2 k = 1/2 d = 3 c = -5 So, the mapping notation is (2x+3, -2y-5)
Parent table
First, you have your table of y = x^n For example, y=x^3 has the table:
| y | x |
|---|---|
| -2 | -8 |
| -1 | -1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 8 |
Mapped table
Mapped table is the table of the transformations with the mapping notation (2x+3, -2y-5), you apply these transformations to the table of values of the parent table.
| -2y -5 | 2x+3 |
|---|---|
| -9 | -13 |
| -7 | 1 |
| -5 | 3 |
| -3 | 5 |
| -1 | 19 |