Answer:
• Shift 5 units to the left >>> f(x) = |x+5|
• Shift 4 units down >>> f(x) = |x| - 4
Step-by-step explanation:
If we have the parent function:
f(x) = |x|
<u>For horizontal translations:</u>
- |x-a| means horizontally translated a units right
- |x+a| means horizontally translated a units left
<u>For Vertical translation:</u>
- |x| + b means vertically translated b units up
- |x| - b means vertically translated b units down
From the translation rules, we can say:
Shift 5 units left would be:
|x+5|
and
Shift 4 units down would be:
|x| - 4