Answer
$g(x)= 2x+13$
Work Step by Step
1. Start from $f(x)=2x+5$, translate up 2 units will give $h(x)=2x+5+2=2x+7$.
2. Translate $h(x) $3 units to the left will give $g(x)=2(x+3)+7=2x+13$, thus $a=2, b=13$.
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