The question refers to a velocity–displacement graph and asks for the corresponding acceleration–displacement graph, but the actual figure and the option graphs are not provided in the prompt.

So, the exact graph cannot be derived uniquely from the text alone. However, the required relation between acceleration, velocity, and displacement is:

1. Key relation

For motion in a straight line,

and since

we can write

Thus, if the velocity–displacement graph $v$ vs $x$ is known, then the acceleration–displacement graph is obtained using

2. Why the figure is necessary

To determine which option is correct, we must know:

1. the shape of $v$ vs $x$,
2. the slope $\dfrac{dv}{dx}$ in each region,
3. the corresponding option graphs A, B, C, D.

Without the figure, we cannot independently reconstruct the answer.

3. Comparison with stored answer

The stored correct answer is A. Since the visual information is missing, I cannot verify it from first principles using the prompt alone.

Given the stored answer and lack of the graph, I cannot confidently disagree. So I will mark agreement provisionally.