the graph of y=f(x) is transformed into y=-f(1/3x+9)+8.

Question

a.Describe the transformations in correct sequence.

b.Is there any other sequence of transformations that could produce the final graph? If so, describe all possible ones.

Answer 1

-f(1/3 x+9)+8 -f(1/3 (x+3)) + 8
so, shift left 3, scale horizontally by 3, reflect through the x-axis, and shift up 8.