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The image shows a problem in Indonesian that asks to determine the transformation of the function \( x^2 \) when it is shifted 2 units to the right and 1 unit up.

The general form for shifting a function is as follows:
- Shifting horizontally by \( h \) units: \( f(x-h) \) (to the right) or \( f(x+h) \) (to the left).
- Shifting vertically by \( k \) units: \( f(x) + k \) (up) or \( f(x) - k \) (down).

Given:
- The function is \( f(x) = x^2 \).
- A shift 2 units to the right means replacing \( x \) with \( x-2 \), so the horizontal transformation becomes \( (x-2)^2 \).
- A shift 1 unit up means adding 1 to the function, making the vertical transformation \( (x-2)^2 + 1 \).

Thus, the transformed function is:
\[
f(x) = (x - 2)^2 + 1
\]

This represents the function \( x^2 \), shifted 2 units to the right and 1 unit up.

Would you like more details, or do you have any questions?

Here are 5 related questions to practice with:
1. What is the transformation of \( x^2 \) if it is shifted 3 units to the left and 4 units down?
2. How would you write the function \( x^2 \) if shifted 5 units to the right and 2 units down?
3. If the function \( x^2 \) is reflected over the x-axis and then shifted 2 units up, what is the resulting equation?
4. What happens to the graph of \( x^2 \) if it is shifted 1 unit to the right and stretched vertically by a factor of 3?
5. How do you shift the graph of \( x^2 \) by 2 units left and 3 units up?

**Tip**: Always apply horizontal transformations before vertical ones when writing shifted functions.

Tentukan bentuk fungsi x^2 jika di geser 2 satuan ke kanan dan 1 satuan ke atas.

Learn how to transform the quadratic function x^2 when shifted 2 units to the right and 1 unit up. This tutorial covers function transformations, focusing on horizontal and vertical shifts, and is suitable for students in Grades 9-10.

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