Explanation:

- Photosynthesis (Option 2):

- This is the correct answer.

- Autotrophic organisms, like plants, use photosynthesis to convert sunlight into chemical energy.

- They transform carbon dioxide and water into glucose and oxygen.

- This process fulfills their energy and carbon needs.

- Lysis (Option 1):

- Lysis refers to the breakdown of cells or substances, often through enzymatic or viral activity.

- Not related to energy and carbon requirements of autotrophs.

- Prognosis (Option 3):

- Prognosis is a medical term predicting the likely outcome of a disease.

- Completely irrelevant to autotrophic energy and carbon sourcing.

- Glycolysis (Option 4):

- Glycolysis is a process that breaks down glucose to produce energy, common in heterotrophs.

- It is not the process by which autotrophs generate energy and carbon.