If I have a parabola with a turning point of (5/2, -81/4) what are my domain and range?

Question

fateal · Answer

isnt domain the X and range the Y??

anonymous · Answer

yes and I know that the range has to be greater than or equal to -81/4 but I am not 100% sure of the x range :)

fateal · Answer

hmm ok.... then isnt there a formla that you have to use?

anonymous · Answer

no i don't think so not sure LOL

fateal · Answer

oh ok i see x3 sorry thats the best i can do for now o.e

campbell_st · Answer

the domain of the parabola is all real x... 

the range is dependent upon whether the turning point is a maximum or minimum

for a maximum the range is $$y \le -81/4$$

if the turning point is a minimum then the range is 

$$y \ge -81/4$$

anonymous · Answer

What if I then have to restrict the domain for the inverse of the function?