Answer :

The function of g whose graph represents the indicated transformation is g(x) = -|2x| - 1

How to write a function of g whose graph represents the indicated transformation?

The function is given as

f(x) = -|8x| - 4

The transformation is given as

A vertical shrink by 1/4

This is represented as

g(x) = 1/4f(x)

So, we have

g(x) = 1/4 * (-|8x| - 4)

Evaluate

g(x) = -|2x| - 1

Hence, the function of g whose graph represents the indicated transformation is g(x) = -|2x| - 1

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