Respuesta :
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
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]
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