Respuesta :

calculista

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

we have

[tex]f(x)=2(0.4)^{x}[/tex]

The reflection of f(x) across the y-axis is equal to the function g(x)

[tex]g(x)=2(0.4)^{-x}[/tex]

The graph in the attached figure

Ver imagen calculista
adioabiola

The graph which best represents a reflection of f(x) across the y-axis is; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

What is the reflection of the graph of the function?

A reflection of a point over the y -axis is given by a rule in accordance with mathematical convention. The rule in discuss for a reflection over the y -axis is (x,y)→(−x,y).

Hence, the reflection of the graph is given by the function; f(x) = 2(0.4)^-x.

[tex]f(x) = 2(0.4)^{-x}[/tex]

Read more on reflection of a graph;

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