In the graph, g(x), the green dashed line, is a transformation of f(x)=2^x, the solid orange line. Give three characteristics of the transformation. Characteristics may include, but are not necessarily limited to: growth/decay, equation of the asymptote, vertex, translation, reflection, or stretch/compression.

The function represents exponential decay
The function is gotten by translating, reflecting and stretching f(x)
The equation of asymptote is y = 3

This is the point where the denominator of the function equals 0.

From the graph of the function, the function g(x) has an horizontal asymptote at y = 3

From the graph, we notice that:

Both curves face opposite directions; this represents reflection.
The green curve is wider than the orange curve; this represents stretch.
The green curve is below the orange curve; this represents translation.

Hence, the function is gotten by translating, reflecting and stretching f(x)

From the graph, we notice that:

As the x-values increase, the y-values increase

This means that, the graph represents decay

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