Question

the function g(x) is the function that results when you shift function f(x) up 6 units. f(x)=3x^4. give g(x)

Answer 1

g(x) =
`3x^(4) + 6`

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) =
`3x^(4) + 6`

Both f(x) and g(x) can be seen in the attached picture below