Can I take a standard deduction for my dependent elderly parent?

(Dependency Exemption, not standard deduction). He would be a qualifying relative and you can claim him as your dependent if he meets the 5 test criteria for dependency that are listed. You can find them at www.irs.gov under Personal Exemptions and Dependents.

Yes you can. If you look online under IRS website, it will give you information

Are you asking if you can claim him as a dependent?