Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2 - Page 25: 46

False

The graph of $y=f(x+c)$ is obtained by translating the graph of $y=f(x)$ left $c$ units. Thus, this statement is false since the graph of $y=f(x+2)+3$ is obtained by translating the graph of $y=f(x)$ left $2$ units and up $3$ units.