Question

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 g(x) = -f(x 2) .

Answer 1

To produce function g, function f was reflected over the x-axis and its argument was halved.

Step-by-step explanation:

To produce the function g(x), the parent logarithmic function f(x) was reflected over the x-axis and its argument was halved. So, if f(x) = ln(x), then g(x) = -ln(x/2).

The graph of f(x) begins infinitely close to the y-axis in quadrant 3, rises through (1, 0) and (4, 1.5). Since g(x) is a reflection of f(x) over the x-axis, the graph of g(x) would start infinitely close to the negative y-axis in quadrant 2 and fall through (-1, 0) and (2, -1.5).