The graph of f(x) can be compressed vertically and shifted to the left to produce the graph of g(x). if f(x) =x^3, which of the following could be the equation of g(x)?

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

1. If , the function is shifted right "k" units.

2. If , the function is shifted left "k" units.

3. If and , the function is stretched vertically by a factor of "b".

4. If and , the function is compressed vertically by a factor of "b".

In this case, you know that the parent function f(x) is:

If the graph of the function g(x) is obtained by compressing vertically and shifting the function f(x) to the left, then:

and

Based on this, you can identify that the following function could be the equation of the g(x):

6e14 is the answer.