Which of the following would describe a child displaying acrocyanosis?

Acrocyanosis is characterized by a blue or purple discoloration of the skin, particularly noticeable in the extremities such as the lips and nails. This condition often occurs in newborns, especially in response to cold or inadequate circulation. The presence of blue coloration signifies a lack of oxygenated blood flow to those areas, which differentiates it from other conditions impacting skin color.

The other options describe conditions that do not align with acrocyanosis. Pale skin with pink extremities suggests proper oxygenation and blood flow, while extreme warmth or bright red skin indicates increased blood flow and circulation, neither of which are associated with acrocyanosis. Thus, the blue coloration around the lips and nails is distinctly indicative of the condition.