The conjugate acid of \( \text{HPO}_4^{2-} \) is formed by adding a proton (H⁺) to it. When you add a proton to \( \text{HPO}_4^{2-} \), you get \( \text{H}_2\text{PO}_4^{-} \).
So, the formula of the conjugate acid of \( \text{HPO}_4^{2-} \) is \( \text{H}_2\text{PO}_4^{-} \).