Question

Below is the graph of y = - x ^ 3 Translate it to make it the graph of y = - (x - 2) ^ 3 - 4 .

Answer 1

Given the graph of the function:

$y=-x^3$

In order to make it the graph of the function:

$y=-(x-2)^3-4$

Translate the graph by 2 units to the right and 4 units downwards.

The graph of both functions is shown below:

To create your graph, drag the slider from (0,0) to (2,-4).