Question

If g(x) (in blue) is a transformation of f(x)=(1/3)^x, what is the equation of g(x)?

g(x)=1/2(1/3)^x
g(x)=1/4(1/3)^x
g(x)=2(1/3)^x
g(x)=4(1/3)^x

Answer 1

To determine which equation represents g(x), a transformation of f(x)=(1/3)^x, you must identify how the function has been vertically stretched or compressed, looking at the constant factor by which f(x) is multiplied.

Step-by-step explanation:

If g(x) is a transformation of f(x) = (1/3)^x, and you are given several options for g(x), you need to determine how f(x) has been transformed. A transformation involves either shifting, stretching, compressing, or reflecting the graph of the original function.

In this case, we are looking at a potential vertical stretch or compression because of the multiplication by a constant factor outside the function. The original function f(x) is multiplied by other constants to get the various options for g(x).

The correct transformation, given the options, will be the one that alters the graph in a way that corresponds to the information provided (even though we don't have the graph here).