To describe the transformation from the graph of $f$ to the graph of $g$, you need to determine how the graph of $g$ has shifted relative to $f$.

A vertical translation involves shifting the graph up or down, while a horizontal translation involves shifting it left or right. Here is the typical breakdown:

• Vertical Translation: If $g(x) = f(x) + k$, where $k$ is a positive number, then the graph of $g$ is shifted up by $k$ units. If $k$ is negative, it is shifted down by $|k|$ units.
• Horizontal Translation: If $g(x) = f(x - h)$, where $h$ is a positive number, then the graph of $g$ is shifted right by $h$ units. If $h$ is negative, it is shifted left by $|h|$ units.

Without the specific functions or graphs for $f$ and $g$, I can't determine the exact transformation. However, based on your prompt structure, you might say:

• The graph of $g$ is a vertical translation $n$ unit(s) up/down of the graph of $f$.
• Or, the graph of $g$ is a horizontal translation $n$ unit(s) left/right of the graph of $f$.

To determine $n$ and the direction, examine the shift between corresponding points of $f$ and $g$. For example:

• If $f(0) = 2$ and $g(0) = 5$, then $g$ is a vertical shift up by 3 units.
• If $f(2) = 0$ and $g(4) = 0$, then $g$ is a horizontal shift right by 2 units.

Would you like more details on identifying these shifts or an example?

Here are 5 related questions:

1. How do you find the vertical shift between two graphs?
2. How does a horizontal shift affect the domain of a function?
3. What happens to a function if you reflect it across the x-axis?
4. How do vertical and horizontal stretches/compressions differ from translations?
5. What is the effect of a negative sign inside the function argument (e.g., $f(-x)$)?

Tip: When analyzing graphs, always note the changes in key points like intercepts and maxima/minima to identify transformations easily.