Identify a horizontal or vertical stretch or compression of the function f(x) = x by observing the equation of the function g(x) = 5x.

Answer :

The vertical stretch of f(x) to g(x) is a factor of 5

How to determine the dilation?

The functions are given as:

f(x) = x

g(x) = 5x

Substitute f(x) = x in g(x) = 5x

g(x) = 5f(x)

In th above equation, the factor is 5.

5 is greater than 1 (this means vertical stretch)

Hence, the vertical stretch of f(x) to g(x) is a factor of 5

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