Question

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?

Answer 1

Answer:

Graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$

Step-by-step explanation:

If you are given the function $y=f(x),$ then the graph of the function

• $y=f(x-a)$ is translated a units to the right graph of the function $f(x);$
• $y=f(x+a)$ is translated a units to the left graph of the function $f(x);$
• $y=f(x)+a$ is translated a units up graph of the function $f(x);$
• $y=f(x)-a$ is translated a units down graph of the function $f(x).$

In your case, graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$