Here is the graph of the function \( f(x) = \sin{|2x - 1|} + 1 \). As you can see, the graph is periodic due to the sine function, and it shifts vertically by 1 unit because of the \( +1 \) term. The absolute value inside the sine function introduces symmetry around \( x = 0.5 \), creating unique variations in the oscillations.

Would you like any further details or have questions about this graph?

Here are 5 related questions:
1. What is the period of the function \( \sin{|2x - 1|} + 1 \)?
2. How does the graph of \( \sin|x| \) compare to \( \sin{|2x - 1|} + 1 \)?
3. What happens if we replace \( \sin \) with \( \cos \) in the function?
4. How would the graph change if we modified the constant 1 outside the sine function?
5. Can you find the maximum and minimum values of \( \sin{|2x - 1|} + 1 \)?

**Tip:** The absolute value inside the sine function reflects portions of the graph, impacting symmetry and behavior of the function.

Explore the graph of the function f(x) = sin|2x - 1| + 1. Learn how the sine function combined with absolute value and vertical shifts affects the graph's symmetry, periodicity, and overall shape. This detailed explanation is perfect for students in Grades 10-12 studying trigonometric transformations.

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