Write the function rule​ g(x) after the given transformations of the graph of ​f(x) = 4x

Question

reflection in the x​-axis; vertical compression by a factor of 1/8

Answer 1

To reflect the graph of f(x) = 4x in the x-axis, we need to negate the function. So, we have -f(x) = -4x.

To vertically compress the graph by a factor of 1/8, we need to multiply the function by 1/8. So, we have g(x) = (-4x) * (1/8) = -1/2x.

Therefore, the function rule g(x) after the given transformations of the graph of f(x) = 4x is g(x) = -1/2x.