Answer:
A vertical translation of 4 units down
Step-by-step explanation:
The "-4" doesn't affect the x variable, it just reduces the overall 'y' value by 4 units. It brings the y value down by 4 units, so there is a vertical shift of 4 units down
Answer:
The graph of f(x) translate 4 units down.
Step-by-step explanation:
The given function are
[tex]f(x)=|x|[/tex]
The vertex of this function is (0,0).
[tex]g(x)=|x|-4[/tex] ..... (1)
The translation of the function is defined as
[tex]g(x)=|x+a|+b[/tex] .... (2)
Where a is horizontal shift and b is vertical shift.
If a<0, then graph shifts a units right and if a>0, then graph shifts a units left.
If b<0, then graph shifts b units down and if a>0, then graph shifts b units up.
From (1) and (2), we get
[tex]a=0,b=-4[/tex]
Since b=-4<0, therefore the graph of f(x) shifts 4 units down.
