Catalyzes the reversible oxidation of 3-phospho-D-glycerate to 3-phosphonooxypyruvate, the first step of the phosphorylated L-serine biosynthesis pathway. Also catalyzes the reversible oxidation of 2-hydroxyglutarate to 2-oxoglutarate and the reversible oxidation of (S)-malate to oxaloacetate. (2R)-3-phosphoglycerate + NAD(+) = 3-phosphooxypyruvate + H(+) + NADH (R)-2-hydroxyglutarate + NAD(+) = 2-oxoglutarate + H(+) + NADH (S)-malate + NAD(+) = H(+) + NADH + oxaloacetate kcat is 4.5 min(-1) for 3-phosphoglycerate oxidation. kcat is 10.6 min(-1) for oxaloacetate reduction. kcat is 4.7 min(-1) for 2-oxoglutarate reduction. Amino-acid biosynthesis; L-serine biosynthesis; L-serine from 3-phospho-D-glycerate: step 1/3. Homotetramer. Induced by 17-beta-estradiol (estrogenic ligand) and 4-hydroxytamoxifen (agonist/antagonist ligand). Positively regulated by the transcription factors SP1 and NF-Y. The disease is caused by variants affecting the gene represented in this entry. The disease is caused by variants affecting the gene represented in this entry. Belongs to the D-isomer specific 2-hydroxyacid dehydrogenase family.