Here is my guess for Austin with the raw numbers and percent of pop in the ()
Race/Ethnicity 2000 2010 2020 2030
Hispanic 327,760(26%) 538,313(31%) 867,216(36%) 1,307,791(40%)
Non-Hispanic White 758,302(61%) 938,474(55%) 1,161,092(48%) 1,328,143(41%)
Non-Hispanic Black 96,746(7.7%) 120,510(7%) 170,063(7%) 235,078(7.1%)
Non-Hispanic American Indian 3,717(.3%) 4,858(.3%) 6,315(.3%) 8,210(.3%)
Non-Hispanic Other 1,866(.1%) 2,869(.2%) 4,590(.2%) 7,344(.2%)
Non-Hispanic Multi Racial 17,322(1.4%) 29,225(1.7%) 49,611(2%) 84,338(3%)
Non-Hispanic Asian 44,050(3.5%) 82,040(4.8%) 161,080(6.5%) 296,052(9%)
Total 1,249,763 1,716,289 2,419,967 3,266,956
As for where we all are in Austin... we don't really have neighborhoods like LA. I would guess a safe assumption would be hispanics % of the population will be higher on the east side of Austin than on the west with Asian % higher on the North, West and South sides of Austin than in the east. Whites all over but highest in the west, and maybe more black % on the east side and a bit to the south than west.