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Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The functions are given as follows:

  • Parent: [tex]f(x) = 4^x[/tex].
  • Translated: [tex]f(x) = -\frac{1}{3} \times 4^x[/tex].

The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).

More can be learned about translation concepts at https://brainly.com/question/4521517

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