Question

1. Choose the best descriptor for the graph of f(x)=e^x+5.

Answer 1

Starting from a parent function $f(x)$, if you add a constant to the whole function, i.e. you perform the transformation

$f(x) \to f(x)+k$

you shift the graph of the parent function by $k$ units, upwards if $k$ is positive, downwards otherwise.

In this case, so, you're shifting, the graph of $e^x$ 5 units upwards. Since the parent function passes through the point $(0,1)$, because $e^0=1$, the shifted graph mantains the same $x$ coordinate, but the $y$ coordinate is increased by 5, because of the 5 units upwards shift.