Answer
See the graph
Work Step by Step
$y=|x+7|+4$
The graph $y=|x+7|+4$ is the graph $y=|x|$ shifted to the left 7 units and upward 4 units.
Make a list of values:
$x=-10 \rightarrow y=7$
$x=-8\rightarrow y=5$
$x=-7 \rightarrow y=4$
$x=-6\rightarrow y=5$
$x=-4 \rightarrow y=7$