Step 1: The key idea here is heredity. A pedigree chart maps out the members of a family over at least three generations using agreed symbols, marking who is affected and who is not by a particular trait.
Step 2: By examining the pattern of affected and unaffected individuals, a clinician can work out the mode of inheritance, for example autosomal dominant, autosomal recessive or X linked. This is precisely what is meant by following the path of genetic transmission.
Step 3: The remaining choices describe unrelated clinical tasks. Growth charts handle growth monitoring, toxicity logs cover chemotherapy reactions, and developmental screening tools assess infant milestones. None of these track inheritance, so the correct selection is the option about genetic transmission.
\[\boxed{\text{Used to see genetic transmission}}\]