Dinkbeebsin2
Answered

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


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

Verified Answer :

nobillionaireNobley

f(x) = 4x
After a reflection in the y-axis, f(x) becomes 4(-x) = -4x
after a vertical compression by a factor of 1/8, f(x) becomes 1/8(-4x) = -1/2x

Therefore, g(x) = -1/2x

abidemiokin

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

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)
g(x) = -1/2x

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

Learn more on transformation here: https://brainly.com/question/4289712

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