Web Analytics

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


4 units up


4 units down


4 units left


4 units right

Verified Answer :

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

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

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

View image carlos2112