Question

Below is the graph of y = 3|x| Translate it to make it the graph of y = 3|x + 3| - 4 .

Answer 1

Given the graph of the function:

$y=3|x|$

In order to plot the graph of the function:

$y=3|x+3|-4$

Translate the function by 3 units to the left and 4 units downwards.

The graph of the two functions is given below: