1. Let's start by understanding the problem: You want to know what the minus sign before the 4 means in terms of a transformation.
2. In transformations, a number before a variable or function often represents a scaling or reflection.
3. Specifically, a negative sign before a number indicates a reflection across an axis.
4. For example, if you have a transformation like $y = -4x$, the $-4$ means two things:
- The 4 scales the input by a factor of 4 (stretching it).
- The negative sign reflects the graph across the x-axis (if applied to the output) or y-axis (if applied to the input).
5. In general, a negative sign before a constant in a transformation flips the graph over the relevant axis, changing the direction or orientation.
6. So, the minus before the 4 means the transformation includes a reflection in addition to scaling by 4.
Negative Sign Transformation
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.