Catalyzes the ATP-dependent phosphorylation of D-glycerate to 2-phosphoglycerate. It can also partially utilize GTP, CTP or UTP as phosphate donor. (R)-glycerate + ATP = (2R)-2-phosphoglycerate + ADP + H(+) Magnesium. It could be replaced to some extent by nickel, manganese or cobalt. Optimum pH is 7.3 and 50% of activity at pH 5.6 and at pH 8.6. Optimum temperature is 60 degrees Celsius. It does not lose activity upon incubation at 60 degrees Celsius for 2 h. The half time at 70 degrees Celsius is about 5 min. Homodimer. Belongs to the glycerate kinase type-1 family.