Graph the Function $y = - 3 + 2 \left( 1 + 3 ^ { x } \right)$

Essay

Graph the function $y = - 3 + 2 \left( 1 + 3 ^ { x } \right)$ , not by plotting points but by applying your knowledge of the general shape of graphs of the form $a ^ { x }$ . State the domain, range, and asymptote of the function.