Thanks Lanedance...
-8 3/4 is the y - intercept, does this mean my image will be (-8 3/4, ∞)?
SammyS ... yes i meant to type 1≤x≤7.
HallsofIvy... i thought the inverse was found by switching the x and y in the oringinal formula i.e y = 1/4 (x-1)^2 - 9 becomes x = 1/4 (y-1)^2 - 9 and...