In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)
I have attached the graph of both functions.
From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.
Let:
[tex]f(x) \to[/tex] Blue
[tex]g(x) \to[/tex] Red
The transformation of reflection across the x-axis is:
[tex]g(x) = -f(x)[/tex]
Hence, the notation that describes how the blue function is transformed into the red function is -f(x)
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