The graphs of y=f(x) and y=g(x) appear below.
How can g(x) be expressed as a transformation of f(x)?
In order to express g(x) as a transformation of f(x), we need to determine what kind of transformation has been made to f(x) to obtain g(x).
From the graphs below, we can see that g(x) is a reflection of f(x) across the x-axis, followed by a translation 2 units down.
Therefore, we can express g(x) as:
g(x) = -f(x) - 2