Answer:
g(x) = [tex]3x^{4} + 6[/tex]
Step-by-step explanation:
To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following
g(x) = [tex]3x^{4} + 6[/tex]
Both f(x) and g(x) can be seen in the attached picture below
