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The given question asks for the equation of the new function when certain transformations are applied to the absolute value parent function \( F(x) = |x| \).

### Transformations:
1. **Horizontal compression by a factor of 11:** 
   - A horizontal compression is applied by multiplying the input \( x \) by 11. This affects the equation inside the absolute value brackets. So, \( F(x) = |x| \) becomes \( F(x) = |11x| \).

2. **Shift upward by 4 units:**
   - This transformation adds 4 to the output of the function, shifting the graph upward by 4 units. So the new equation becomes \( F(x) = |11x| + 4 \).

### Conclusion:
The correct equation is \( G(x) = |11x| + 4 \), which corresponds to **option A**.

Would you like further details or have any questions? Here are some related questions for practice:

1. How does a horizontal stretch differ from a horizontal compression?
2. What happens if you shift the function \( F(x) = |x| \) downward instead of upward?
3. How would you describe a vertical stretch of the function \( F(x) = |x| \)?
4. What is the general form of a transformed absolute value function?
5. If the function were shifted to the left or right, how would the equation change?

**Tip:** Remember that horizontal transformations affect the input \( x \), and vertical transformations affect the output of the function.

If you apply the changes below to the absolute value parent function, F(x) = |x|, what is the equation of the new function? Horizontally compress by multiplying by 11 and shift 4 units up.

Learn how to apply horizontal compression and vertical shifts to the absolute value function F(x) = |x|. This problem explains transformations and provides the new function equation step-by-step. Suitable for students in Grades 9-11.

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