She won two gold medals, as a member of the Mexican relay team, at the 2006 Ibero-American Championships in Ponce, Puerto Rico, and at the 2008 Ibero-American Championships in Iquique, Chile.Grajeda competed for the women's 4 Ă— 400 m relay at the 2008 Summer Olympics in Beijing, along with her teammates Zudikey RodrĂguez, Gabriela Medina, and Nallely Vela.
Running the start-off leg, Grajeda recorded her individual-split time of 54.71 seconds, and the Mexican team went on to finish the second heat in seventh place, for a total time of 3:30.36.