Function transformation involves changing the form of a function.
The parent absolute value function is:
[tex]f(x) = |x|[/tex]
If the parent function is shifted up by 1 unit, then the equation of the function would be
[tex]f(x) = |x| + 1[/tex]
If the parent function is shifted right by 1 unit, then the equation of the function would be
[tex]f(x) = |x - 1|[/tex]
If the above functions are stretched horizontally by a factor of 1/3, then the new functions would be
[tex]f(x) = 3|x| + 1[/tex]
[tex]f(x) = 3|x - 1|[/tex]
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