how is the graph of f(X)=x transformed to obtain the graph of g(x)=x-6

Answer 1

shift vertically down 6 units

or

which is the same transformation

shift right horizontally 6 units

f(x)= y = x is a diagonal 45 degree line, 45 degree angle with the x axis

with y intercept = 0

shift down 6 is y=x-6

with new y intercept = -6

shift right horizontally 6 is y=x-6

with same new y intercept =-6

but usually, if this is a computer problem, or a textbook problem

they want shift down 6

but it's really either shift (but not both)