Question

Multiple Response Select the transformations of the graph of the parent cubic
function that result in the graph of g(x) = (3(x - 2))^3 +1
.
A. Horizontal stretch by a factor of 3
B. Horizontal compression by a factor of 1/3
C. Vertical stretch by a factor of 3
D. Vertical compression by a factor of 1/3
E. Translation 1 unit up
F. Translation 1 unit down
G. Translation 2 units left
H. Translation 2 units right

the answer is B, E and H

I don't understand why B though

thank you

Answer 1

since x has been replaced by 3x, it only has to be 1/3 as big to produce the new graph.

Play around with a couple of easy functions to see how this works.