The graph of g(x) is a transformation of the graph of f(x)=3x .Graph of an exponential function labeled g of x. The horizontal axis ranges from negative 5 to 5 in increments of 1. The vertical axis ranges from negative 5 to 5 in increments of 1. The graph passes through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 3 comma 2 end ordered pair. These points are labeled. The graph approaches the line y equals negative 1 to the left on the graph.Enter the equation for g(x) in the box.g(x) =

When a graph is transformed, it could be translated, reflected, dilated, or rotated. However, no matter what kind of transformation that is, it does not change the nature of the graph. A line would still be a line; a curve would still be a curve. So, that is my basis for my solution. There is no need to graph the problem. You only need to find the equation of g(x) through the two points given: (2,0) and (3,2)

m = Δy/Δx = (2-0)/(3-2) = 2
Use point (2,0) to find b:
y = mx + b
0 = 2(2) + b
b = -4

So, g(x) = 2x - 4