Question: Use the graphs of $f$ and $g$ to describe the transformation from the graph of $f$ to the graph of $g$. $f(x) = -3x + 4$ g(x) = f(x) + 1 The graph of $g$ is a ____ translation ____ unit(s) ____ of the graph of $f$.

1. **State the problem:** We are given two functions $f(x) = -3x + 4$ and $g(x) = f(x) + 1$. We need to describe the transformation from the graph of $f$ to the graph of $g$. 2. **Understand the transformation:** The function $g(x)$ is defined as $g(x) = f(x) + 1$. This means that for every $x$, the value of $g(x)$ is the value of $f(x)$ plus 1. 3. **Recall the rule for vertical translations:** Adding a constant $k$ to a function $f(x)$ results in a vertical translation of the graph of $f$ by $k$ units. 4. **Apply the rule:** Since $g(x) = f(x) + 1$, the graph of $g$ is the graph of $f$ shifted vertically upward by 1 unit. 5. **Final answer:** The graph of $g$ is a vertical translation 1 unit up of the graph of $f$.