Question

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

Answer 1

SOLUTION

For a reflection in the x-axis,

$\begin{gathered} g(x)=-f(x) \\ g(x)=-6x \end{gathered}$

Now, for a vertical compression by a factor of

$\frac{1}{2}$

This becomes

$\begin{gathered} g(x)=\frac{1}{2}\times-6x \\ g(x)=-3x \end{gathered}$

Therefore, the answer = -3x