after transformations the new function is : [tex]|x+2|-3[/tex]
Step-by-step explanation:
Here we have to apply the changes below to the absolute value parent function, f(x) = | X l, And find out which of these is the equation of the new function. Let's find out:
Initially we had function [tex]f(x) = |x|[/tex] . We have following changes as :
• Shift 2 units to the left.
According to above statement , Function is shifted 2 units left that means 2 units towards - x-axis ! i.e.
⇒ [tex]f(x+2) = |x+2|[/tex]
• Shift 3 units down.
According to above statement , Function is shifted 3 units down that means 3 units towards -y-axis ! i.e.
⇒ [tex]f(x+2)-3 = |x+2|-3[/tex]
Therefore , after transformations the new function is : [tex]|x+2|-3[/tex] .
