Question

[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

Answer 1

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.

Answer 2

The guy above me sadly did this wrong, the correct answer on plato is g(x)=2x^3+4. As you can see the graph I made is an exact replica of the one on the test.