I'm totally stumped as to how to do this because it's a bit confusing to me.

I'm asked to determine and graph how this function should be

y = f(x - 2)

Now when I make a T chart and pick for x values 0 , 1 , 2 , 3, 4, 5, 6, 7, the line is linear when in fact the answer the book portrays is an increasing and decreasing line. Help please let me know what i'm missing from doing this right Thanks!

Oh and what exactly is the difference between

F(x) = (x - 2)

and

Y = f(x - 2)