1. Let's clarify the problem: You want to know how a transformation can be written out mathematically. 2. A transformation in math often means applying a function or operation to an input to get an output. 3. For example, a common transformation is a linear transformation represented as: $$y = ax + b$$ where $a$ is the scaling factor and $b$ is the translation. 4. If you have a specific transformation, say scaling by 3 and shifting by 2, it would be: $$y = 3x + 2$$ 5. This means for any input $x$, multiply by 3 and then add 2 to get $y$. 6. If you want to write a transformation that reflects a point across the y-axis, it would be: $$y = -x$$ 7. Or a transformation that squares the input: $$y = x^2$$ 8. To summarize, writing out a transformation means expressing the rule or function that takes an input $x$ and produces an output $y$ using mathematical notation.