Hyphenate when it is an adjective. The University has high-quality programs. The University is known for its high quality. Italicize when referring to the court case. Do not hyphenate adverbial phrases.
Proofreaders are culturally elite people.
When a text refers to numbered graphs or tables, refer to them in the text as Figure 1, Figure 2, etc. That is, italicize the reference in the text. Figures in an appendix should be designated according to the letter of the appendix. Do not capitalize this adjective. That is a legislative matter.