AP Style isn’t a huge fan of parentheses because they can often be replaced with other types of punctuation, like commas or em dashes. But we use them when appropriate. Information included in parentheses is supplementary to the rest of the sentence, like an example of what you just described or an additional clarification.
If the parenthetical text is a complete sentence, use sentence case and add correct end punctuation before the last parenthesis. If the parenthetical is a fragment, any necessary punctuation for the rest of the sentence will be outside the parenthesis.