The given function is \(f(x) = e^x\).

1.The graph of the function is shifted to the left by 2 units.

\(f_1(x)=f(x+h)\) h is the no of units shifted

=f(x+2)

\(=e^(x+2)\)

2.

the graph compressed by factor \(1/7\) as follows

\(f_2(x)=af(x)\)

\(=1/7e^x (0<1/7<1)\)

3.

Reflect the graph across x-axis

\(f_3(x)=-f(x)\)

\(=-e^x\)

4.The graph is shifted up by 8 units to create g(x)

\(g(x)e^x+8\) (8 units up)