Answer
The function $y=7-\log(x+3)$ matches with the graph labeled (d).
Work Step by Step
y-axis intercept ($x=0)$:
$y=7-\log(0+3)\approx6.5$
The graph of $y=\log x$ increases as $x$ increases.
The graph of $y=-\log x$ decreases as $x$ increases.
So, the graph of $y=7-\log(x+3)$ also decreases as $x$ increases.
Vertical asymptote:
$x+3=0$
$x=-3$
