Question

Given the toolkit function, f(x) = x3, write a new equation, g(x), that would represent a transformation up 4 units.g(x) = (x + 3)3g(x) = x3 - 4g(x) = (x - 3)3g(x) = x3 + 4

Answer 1

When we have a function f and we want to move it up or down we must add something to the function. If we add a positive number it will move the graph up, if we subtract it will move the graph down.

We want to move up the following graph:

`f(x)=x^3`

If we want to move it up we must add a positive number to the function. We want 4 units up then let's add 4 to the function

`f(x)=x^3\Rightarrow g(x)=x^3+4`

Then the function that represents that transformation is

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