Consider the graphs of the parent logarithmic function f and transformed function g.

Graph shows 2 exponential functions plotted on coordinate plane. Curve g enters quadrant 2 at (minus 2, 4) and falls through (minus 1, 0), and (2, minus 1.5). Curve f begins infinitely close to Y-axis in quadrant 3, rises through (1, 0) and (4, 1.5).

To produce function g, function f was reflected over the x-axis and
. Function g is defined as