1. The problem asks to describe the transformation applied to the graph of the function $f(x)$ when it is multiplied by 6, i.e., the function becomes $6 \cdot f(x)$. 2. The general form given is $a \cdot f(b(x+c)) + d$, where $a$ controls vertical stretch or compression, and $b$ controls horizontal stretch or compression. 3. When the function is multiplied by a factor $a=6$, this affects the vertical dimension of the graph. Specifically, multiplying by a number greater than 1 causes a vertical stretch. 4. Therefore, $6 \cdot f(x)$ represents a vertical stretch by a factor of 6. This means every $y$-value of the original function is multiplied by 6, making the graph taller and steeper. 5. To summarize: The transformation is a vertical stretch by a factor of 6.