Write a function g in terms of f so that the statement is true.

The graph of g is a horizontal shrink by a factor of 1/5 of the graph of f.

g (x) = ?

Question

Allyson Hickman

Mathematics

8 January, 04:16

Write a function g in terms of f so that the statement is true.

The graph of g is a horizontal shrink by a factor of 1/5 of the graph of f.

g (x) = ?

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Answers (1)

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Elsie Oneal · Answer 1

g (x) = f (5x)

Step-by-step explanation:

We assume that "shrink by a factor of 1/5" means that horizontal distances on the graph of g (x) are 1/5 of those on the graph of f (x).

Dividing x by a dilation factor will cause horizontal dilation of a graph. Here, that factor is 1/5, so the desired function is ...

g (x) = f (x / (1/5))

g (x) = f (5x)

Write a function g in terms of f so that the statement is true.The graph of g is a horizontal shrink by a factor of 1/5 of the graph of f. g (x) = ?

Write a function g in terms of f so that the statement is true.

The graph of g is a horizontal shrink by a factor of 1/5 of the graph of f.

g (x) = ?