Question

What is an equation for each translation of y=|x|?1. 4 units up2. 7 units down

Answer 1

To find an equation for each translation, keep in mind this:

f(x); g(x)=f(x)+a, the function is translated a units up.

f(x); g(x)=f(x)-a, the function is translated a units down.

Use this information to find the equation for each translation.

4 units up - Add 4 units to the function:

$y=\lvert x\rvert+4$

7 units down - Substract 7 units to the function:

$y=\lvert x\rvert-7$

Those are the answers for each translation.