Describe how the graph of g(x) is related to the graph of ƒ (x) = x^3

Question

.

g (x) = (3x)^3

can you explain in baby steps why the answer is :

horizontal compression of the
graph of f (x) by a factor of _
1/3

Thank you.

Answer 1

f(x) = x^3
g(x) = 3^3 x^3 = 27 x^3
sketch a graph
x f g
0 0 0
1 1 27
2 8 216
3 27 729 etc

Answer 2

at every value of x, the value of g is 27 times that of f