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Write the function rule g(x) after the given transformations of the graph of f(x) = 6x.1reflection in the x-axis; vertical compression by a factor of2g(x) = 0

Write the function rule gx after the given transformations of the graph of fx 6x1reflection in the xaxis vertical compression by a factor of2gx 0 class=

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SOLUTION

For a reflection in the x-axis,

[tex]\begin{gathered} g(x)=-f(x) \\ g(x)=-6x \end{gathered}[/tex]

Now, for a vertical compression by a factor of

[tex]\frac{1}{2}[/tex]

This becomes

[tex]\begin{gathered} g(x)=\frac{1}{2}\times-6x \\ g(x)=-3x \end{gathered}[/tex]

Therefore, the answer = -3x

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