Suppose you are given a function $y=f(x)$, and you consider shifting and reflecting the graph of $f$. Indicate whether the following statements are true (T) of false (F).
The graph of $g(x) = f(x) + 1$ is obtained by shifting the graph of $f$ up one unit.
The graph of $g(x) = f(x) - 1$ is obtained by shifting the graph of $f$ down one unit.
The graph of $g(x) = f(x - 1)$ is obtained by shifting the graph of $f$ right one unit.
The graph of $g(x) = f(x + 1)$ is obtained by shifting the graph of $f$ left one unit.
The graph of $g(x) = f(-x)$ is obtained by reflecting the graph of $f$ in the $y$ axis.
The graph of $g(x) = -f(x)$ is obtained by reflecting the graph of $f$ in the $x$ axis.