Did you mean interpret? If so, you are mistaken. No authority to interpret the Constitution is given to the Supreme Court.
Are you kidding?
“The judicial Power shall extend to all Cases, in Law and Equity, arising under this Constitution, the Laws of the United States, and Treaties made, or which shall be made, under their Authority;—to all Cases affecting Ambassadors, other public Ministers and Consuls;—to all Cases of admiralty and maritime Jurisdiction;—to Controversies to which the United States shall be a Party;—to Controversies between two or more States;—between a State and Citizens of another State;—between Citizens of different States;—between Citizens of the same State claiming Lands under Grants of different States, and between a State, or the Citizens thereof, and foreign States, Citizens or Subjects.” Art. III. Section 2 of the US Const.
***
When a statute is passed under an enumerated power or eventually defended under some constitutional basis, it’s the Court’s job and the courts’ job to determine if the law is consonant therewith—through the actual text of the Const., intent of the Founders in light of the history at the time of ratification, and precedent—in accordance with the power vested in the judicial branch in Article III Section 2 of the Const.
Don’t get me wrong, the Const. has been EXTREMELY perverted; but what you said is patently false. You may be referring to judicial review, which is different, though related, and is almost surely implicit in the entire notion of a judicial branch, supposedly coequal with the other two branches.