The original function given is $f(x) = x^2$. The transformations applied to it are:

1. Reflection across the x-axis: This changes $f(x) = x^2$ to $g(x) = -x^2$.
2. Translation 2 units to the left: Shifting $g(x) = -x^2$ two units left means we replace $x$ with $x + 2$, resulting in $g(x) = -(x + 2)^2$.

So, the transformed function would be: $g(x) = -(x + 2)^2$

This matches answer A.

Answer: A

Would you like further explanation on these transformations, or do you have any questions?

Here are some related questions you might find interesting:

1. How would the function change if it was translated to the right instead?
2. What would the equation look like if it was shifted up or down?
3. How does the reflection across the x-axis affect the graph of a parabola?
4. What if the function had been reflected across the y-axis instead?
5. How does shifting horizontally differ from shifting vertically in terms of equation changes?

Tip: When reflecting a function, multiplying the output by $-1$ reflects it across the x-axis, while replacing $x$ with $-x$ reflects it across the y-axis.