Final answer:
The statement that indicates an understanding of preventing and managing hyperglycemia is "I will check for ketones when my child is suffering from an illness."
Step-by-step explanation:
The parents understanding of preventing and managing hyperglycemia can be assessed by their statement. Out of the given options, the statement that indicates an understanding of preventing and managing hyperglycemia is a. "I will check for ketones when my child is suffering from an illness." This statement shows awareness of the importance of monitoring for ketones, which can be an early sign of hyperglycemia and diabetic ketoacidosis.