If you were covered by your parent's insurance all year, you would select "Yes" that you were covered all year (see screenshot). Then you can proceed to the next question (covered below). If you did not have insurance all year you would select only the months in which you were covered.
They can also tell you what type of plan you were enrolled in (either their work plan or a marketplace plan) so you can best answer the second question "Was anyone enrolled in any of these less common plans in 2016?" If you were enrolled in their workplace insurance plan, you would select "No" here, but if you were insured by the Marketplace/Obamacare or similar plan, select "Yes".
Most likely your parents would have received Form 1095-A in the mail for your coverage, you can verify this with them to make sure.
