A dependent always reports income earned from working on a separate return in their own name. This does not affect the parents' ability to claim the child as a dependent unless the dependent earned so much that they paid more that half their own living expenses (for dependents who are under 19, or full time students under 24, and treated as living at home). For dependents who are over the age limit but still supported by their parents, they can't be claimed as dependents if they earn more than $4050 for 2016.)
Your tax return is private and is not shared with your parents.
As mentioned above, you do not need to file a tax return unless your self employment income is more than $400, or your total income is more than $6300. However, if you do file a return for any reason, you must report this income along with the rest.
