[20 points] the function f(x) = x3 + 4 is transformed to give a new function, g(x). the graph of g(x) [red] shows a horizontal shrink compared to the graph of f(x) [blue]. what is the function g(x)? a. g(x) = 2(x3 + 4) b. g(x) = 1/2 (x3 + 4) c. g(x) = 2x3 + 4 d. g(x) =1/2 x3 + 4

If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.

That means that A and B are not correct.

If you have a graph where a>1 the graph will expand.

If you have a graph where a<1 but greater than 0 the graph will shrink.

y = 1/2 x^3 + 4 is the answer you want.

Just to show you the graphs, I have enclosed a graph of the three choices.

y = x^3 + 4 is red

y = 2x^3 + 4 is blue

y = (1/2) x^3 + 4 is green. The green one is the one you want.

y=mx+