Answer:
A
Step-by-step explanation:
y = a f(x)
If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a
If 0 < |a| < 1 then f(x) is squashed vertically
If a < 0 then f(x) is also reflected in the x-axis
y = f(ax)
If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a
If 0 < |a| < 1 then f(x) is stretched horizontally
If a < 0 then f(x) is also reflected in the y-axis
g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)
Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]
