in short, a horizontal translation, means f("x + some number"),
now, that number is 2, and is to the left, so that means f(x + 2)
[tex]\bf \begin{cases}
f(x)=-4x+3\\
g(x)=f(x+2)
\end{cases}
\\\\\\
f(x+2)=-4(x+2)+3\implies f(x+2)=-4x-8+3
\\\\\\
f(x+2)=-4x-5\impliedby g(x)[/tex]
