Final answer:
The transformation that occurs between the functions f(x) = 4x + 5 and g(x) = -4x is a reflection in the x-axis.
Step-by-step explanation:
The transformation that occurs between the functions f(x) = 4x + 5 and g(x) = -4x is a reflection in the x-axis. To determine this, you can observe that the coefficient of x changes sign from positive to negative. This means that the graph of f(x) is reflected and transformed into the graph of g(x).