Anytime one chooses to submit to a polygraph, for civil or criminal purposes, one should have an attorney. A lawyer would have clarified the ground rules and properly supervised the test. In the civil context, polygraphs are sharply limited for hiring and other employment purposes. (They can be used for security jobs, for example). The federal Employee Polygraph Protection Act spells out the lawful testing procedure. This law doesn't apply to the federal government or it's agencies. However, many private businesses and government agencies fail to properly comply with the law's procedure even when they are authorized to request a polygraph, and an affected employee can sue for damages. The results cannot be divulged without the employee's permission. The employee has the right to the test results.
The rules are completely different in the criminal context. I am unaware of any requirement that such results must be disclosed to the test taker. In the rare cases wherein I advise a client to submit to a test, the procedure and disposition of the test results are negotiated in advance.
No one, in any context, can be forced to submit to a polygraph.
Virginia strictly limits the admission of polygraph examinations in court, but with regard to employment there are many other considerations. You should consult with an employment law attorney to answer this question.
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I would recommend to reach out to the agency that conducted the exam, and request the results, the examiner's notes, his findings, and any videos they took of you. Additionally, try to find out if they allow anybody else to evaluate the results before they submitted it to your potential employer. This is not likely to change your employment situation, but it will give you peace of mind and you will know how this process works for the future employments. I also agree with my colleague that you cannot be forces to take a polygraph.