Which describes how the parent function, \( f(x)=|x| \), is transformed to show the function \( f(x)=0.1|x-3| \) ? It is wider and shifted 3 units to the left. It is wider and shifted 3 units to the right. It is narrower and shifted 3 units to the left. It is narrower and shifted 3 units to the right.

The transformation from the parent function \( f(x) = |x| \) to the function \( f(x) = 0.1|x-3| \) involves two key changes: 1. **Vertical Scaling (Widening):** - The coefficient \( 0.1 \) in front of the absolute value function compresses the graph vertically. However, from the perspective of the graph's appearance, this makes the "V" shape wider compared to the parent function. 2. **Horizontal Shift (Right Shift):** - The expression \( |x - 3| \) shifts the graph horizontally. Specifically, subtracting 3 inside the absolute value translates the graph **3 units to the right**. Combining these transformations, the function \( f(x) = 0.1|x-3| \) is **wider** than the parent function and shifted **3 units to the right**. **Correct Answer:** It is wider and shifted 3 units to the right.