the graph of y = f(x) is the solid black graph below. which function represents the dotted graph? answer…

Explanation:

Step1: Analyze vertical transformation

The dotted - graph is a reflection of the solid - graph about the x - axis and a vertical translation. Reflecting the graph of $y = f(x)$ about the x - axis gives $y=-f(x)$.

Step2: Analyze vertical translation

The dotted graph is also shifted down 4 units. For a vertical shift of a function $y = g(x)$ down by $k$ units ($k>0$), the new function is $y = g(x)-k$. Since $g(x)=-f(x)$ and $k = 4$, the function of the dotted graph is $y=-f(x)-4$.

Answer:

$y=-f(x)-4$