Answer:
[tex]f(x)=-3log_3(x+4)[/tex]
Step-by-step explanation:
We see that there's a vertical asymptote at x=-4, the function is flipped across the x-axis, and is stretched vertically. With these factors in mind, the logarithmic equation that corresponds to the graph shown is [tex]f(x)=-3log_3(x+4)[/tex]