Respuesta :

Answer:

f(x) = |x - 4| + 3


Step-by-step explanation:

Identify (from the graph) the coordinates of the vertex:  (4, 3).  That +4 tells us that the vertex of the basic function y = |x| has been translated 4 units to the right; that +3 tells us that the vertex has also been translated 3 units up.  Consider y = |x-a| + b.  Here, b = +3 and a=+4.  Thus, the correct function is f(x) = |x - 4| + 3.