Respuesta :
g(x)=|x+3|-5
down five units means add -5 to then end of the equation
down five units means add -5 to then end of the equation
Keywords
transformed function, translation, rule
In this problem we have
[tex]f(x)=|x+3|[/tex]
we know that
If the translation is [tex]5[/tex] units down
then
the rule of the translation is equal to
[tex](x,y)-------> (x,y-5)[/tex]
therefore
the answer is
the equation of the transformed function is equal to
[tex]g(x)=|x+3|-5[/tex]
see the attached figure to better understand the problem
