To determine the expression for $f(x)$ when it undergoes the specified transformations, we apply them in the following order:

Transformations:

1. Shift right on the x-axis by 1 unit: Replace $x$ with $x - 1$, so $f(x)$ becomes $f(x - 1)$.

2. Reflect in the y-axis: Replace $x$ with $-x$, so $f(x - 1)$ becomes $f(-(x - 1))$.

3. Stretch parallel to the y-axis with a scale factor of 2: Multiply the entire function by 2, so $f(-(x - 1))$ becomes $2f(-(x - 1))$.

Final Expression:

The resulting function is: $g(x) = 2f(-(x - 1))$

Would you like further clarification or examples to understand these transformations? Here are some related questions to deepen your understanding:

1. How does a shift left on the x-axis by 2 units affect the function's expression?
2. What is the effect of reflecting a function in the x-axis instead of the y-axis?
3. Can you combine multiple stretches (e.g., by different scale factors along x and y)?
4. How do you identify transformations when analyzing a graph?
5. What happens when you apply a horizontal compression with a reflection?

Tip: When working with transformations, apply them step by step, and keep track of the order to avoid confusion.