Graph every function using methods of shifting, compressing, stretching, and/or reflecting. Start with graph of basic function(for instancey=x^2) and illustrate all stages. ensure to illustrate at least three main points. Compute domain and range of each function. Verify results using graphing utility.
(a). h(x)= square root of x-2
(b). f(x)=(x-1)^3 +2
(c). f(x)= 2(x+1)^2 -3
(d). g(x)= 2 square of x-2 +1