Question

Various transformation help?

Answer 1

http://www.mathsisfun.com/sets/function-transformations.html
the link here-they have a nice summary chart on what is going on with this function

a vertical stretch by a factor of 2, and a vertical shift downwards of 6 units
are in all your answers

does reflect around x or y axis

the -2 tells us
for y= -f(x) it reflects around x axis

and the (x-1) gives a shift to the right
y = f(x + C)
C > 0 moves it left
C < 0 moves it right

look at the graph attached and see the difference between x^2 and given function