Q:

If you apply the changes below to the absolute value parent function, f(x) = |Xl,what is the equation of the new function?• Shift 5 units to the left.• Shift 4 units down.

Accepted Solution

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