Answer
$a=1 $ or $ a=-4$
Work Step by Step
The graph of y=f(x) contains points (x,f(x)).
If $(a,4)$ is a point on the graph, then
$4=a^{2}+3a$
$0=a^{2}+3a-4$
$0=(a-1)(a+4)$
$a=1 $ or $ a=-4$
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