## Intermediate Algebra (6th Edition)

$F(a+h)=a^2+2ah+h^2+3a+3h+2$
Replacing $x$ with $a$ in the given function, $F(x)=x^2+3x+2$, then $F(a+h)$ is equal to \begin{array}{l} (a+h)^2+3(a+h)+2 \\\\= a^2+2ah+h^2+3a+3h+2 \end{array}