Question

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?

Answer 1

The answer is that it goes 4 units down, i hope this helped :D

Answer 2

Answer:

4 units down

Step-by-step explanation:

Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is moved up, down, right or left

Given a function:

$y=f(x)$

A vertical translation can be expressed as:

$y=f(x)+c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}up\\y=f(x)-c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}down$

Where:

$c=constant>0$

So:

$y=|x|-4$

It's a vertical translation 4 units down. You can corroborate checking the picture I attached you and evaluating the function at x=0

$y(0)=|0|-4=-4$