Using translation concepts, a stretch of a decay exponential function is given by:
[tex]f(x) = 5\left(\frac{1}{5}\right)^x[/tex]
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
An exponential decay function is given by:
[tex]y = ab^x[/tex]
In which |b| < 1.
A stretch means that the function is multiplied by a factor with absolute value greater than 1, hence the function would be given by:
[tex]f(x) = 5\left(\frac{1}{5}\right)^x[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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