The given image shows a parabolic graph with a description in Indonesian, asking for the equation of the image of $f(x)$ under a translation $T = (2, 3)$. We are provided with four possible answer choices for the new function $g(x)$.

Breakdown:

1. Graph observation: The graph represents a downward-facing parabola (suggesting a negative leading coefficient), likely centered at or near the origin.

2. Translation details:

   • A translation $T = (2, 3)$ means shifting the graph:
     • Horizontally by 2 units to the right.
     • Vertically by 3 units upward. The translation formula for a function is: $g(x) = f(x - h) + k$ where $h = 2$ and $k = 3$.

3. Choices and transformations: Without the exact original equation $f(x)$, it's hard to confirm the correct option immediately. However, we can assume the general structure of the function will be affected by the translation rules.

Would you like a detailed calculation based on estimating the original function from the graph, or further elaboration on how translations affect the function's equation?

Relative Questions:

1. What is the general form of a quadratic equation?
2. How does a horizontal translation affect the graph of a function?
3. How do we translate functions vertically and horizontally?
4. Can you calculate the vertex of a parabola from its equation?
5. What other transformations can be applied to parabolic functions?

Tip: When translating a graph, always ensure that the vertex or key points of the function are correctly shifted according to the given transformation.