which algebraic rule describes the transformation
The algebraic rule that describes a transformation depends on the specific transformation being performed. There are several common algebraic rules used to describe transformations in algebra, including:
1. Translation: For a translation of 'a' units horizontally and 'b' units vertically, the rule is (x, y) → (x + a, y + b).
2. Reflection: The rule for reflecting a point over the x-axis is (x, y) → (x, -y). Similarly, the rule for reflecting a point over the y-axis is (x, y) → (-x, y).
3. Vertical and Horizontal Stretch/Compression: For a vertical stretch/compression, the rule is (x, y) → (x, k * y), where k is the scale factor. For a horizontal stretch/compression, the rule is (x, y) → (k * x, y).
4. Vertical and Horizontal Shifts: For a vertical shift of 'a' units, the rule is (x, y) → (x, y + a). For a horizontal shift of 'a' units, the rule is (x, y) → (x + a, y).
These are just a few examples of algebraic rules that describe transformations. The specific rule used will depend on the type of transformation being performed.