if you vertically shift the absolute value parent function, f(x)=lxl up five units what is the equation of the new function?
2 answers:
Answer:
Step-by-step explanation:
There is a parent function in absolute value as
f(x) = |x|
Given that this is shifted up by 5 units
This means no horizontal shift so x remains as it is
Since vertically shifted by 5 units, we get new function as
This will make the parent function shift by 5 units up and hence y intercept would be
f(0) = 5
This function would be having minimum at (0,5) and symmetrical about x=0
Domain = all real numbers
Range =[5,infty)
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