Step 1: Interpret the key observation.
Plants from both rocky sites and grasslands were grown under identical greenhouse conditions.
Despite their different growth forms in nature, all plants developed upright stems in the greenhouse.
This indicates that the observed differences in the field are not genetically fixed.
Step 2: Analyze option (A).
Phenotypic plasticity refers to the ability of the same genotype to produce different phenotypes under different environmental conditions.
The change from creeping (rocky sites) to upright growth (greenhouse) strongly supports phenotypic plasticity.
Hence, (A) is correct.
Step 3: Analyze option (B).
Inbreeding depression typically results in reduced fitness, such as lower growth or reproduction.
There is no evidence here linking creeping growth form to inbreeding effects.
Hence, (B) is incorrect.
Step 4: Analyze option (C).
If high gene flow restricted local adaptation, populations would not show consistent habitat-specific morphologies in nature.
However, clear morphological differences are observed in the field.
Hence, (C) is not supported.
Step 5: Analyze option (D).
The experiment does not provide information about the genetic architecture (polygenic vs single-gene control) of growth form.
Environmental responsiveness alone cannot be used to infer polygenic inheritance.
Hence, (D) is incorrect.
Step 6: Conclusion.
The greenhouse experiment demonstrates that growth form in Veronica depends on environmental conditions rather than fixed genetic differences.
Therefore, the correct explanation is:
\[
\boxed{(A)}
\]