Given the parent function, write the linear transformation. F (x) = 3x+3

F (3x) - 2

Yes, what he said ...

F (x) = 3x+3

F (3x) - 2 this means to change all x's in f (x) with 3x and the - 2 means subtract 2 from the answer

F (x) = 3x+3

F (3x) = 3 (3x) + 3

= 9x+3

then - 2

= 9x + 3 - 2

= 9x + 1

the linear transformation is that it went from 3x to 9x or 3 times steeper

and it went from + 2 to + 1 or it moved down vertically by 2