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The problem asks to sketch the graph of \( y = f(x) + 2 \) based on a given graph of \( y = f(x) \), and label the coordinates of the maximum point.

The transformation \( y = f(x) + 2 \) is a vertical shift upwards by 2 units. So, every point on the original graph \( y = f(x) \) will be shifted upwards by 2 units, including the maximum point.

### Steps:
1. Identify the coordinates of the maximum point on the original graph \( y = f(x) \).
2. Apply the transformation by adding 2 to the \( y \)-coordinate of the maximum point.
3. Sketch the new graph by shifting all points on \( y = f(x) \) vertically by 2 units.
4. Label the coordinates of the new maximum point.

Please upload the graph or provide further information if you need a specific example or calculation of the maximum point. Would you like further details on how vertical shifts affect graphs? 

Here are five related questions you might explore:
1. What effect does subtracting a constant have on the graph of \( y = f(x) \)?
2. How do horizontal shifts affect a graph?
3. Can you describe how \( y = -f(x) \) transforms the graph of \( y = f(x) \)?
4. What happens if the transformation involves multiplying \( f(x) \) by a constant?
5. How would a reflection over the \( x \)-axis impact the graph?

**Tip**: When transforming graphs, always adjust points systematically based on the transformation rule (up/down for vertical shifts, left/right for horizontal shifts).

The graph of y = f(x) is shown to the right. Sketch the graph of y = f(x) + 2, labelling the coordinates of the maximum point.

Learn how to sketch the graph of y = f(x) + 2 and identify the coordinates of the maximum point. This problem involves a vertical shift transformation of a given function, with detailed steps for labeling key points. Suitable for students in Grades 9-11.

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