The transformation \( f(x) \mapsto f(x) + 7 \) involves a vertical shift of the graph of the function \( f(x) \). Specifically, this transformation moves the entire graph of \( f(x) \) upward by 7 units.
To visualize this:
- For any point \( (x, f(x)) \) on the original graph, after the transformation, this point will be at \( (x, f(x) + 7) \).
- As a result, every point on the graph rises by 7 units, so the shape of the graph remains the same; only its position changes.
In summary, the transformation \( f(x) \mapsto f(x) + 7 \) shifts the graph of \( f(x) \) vertically upward by 7 units.
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