Question

Write a function g whose graph is a horizontal shrink by a factor of 1/3

Answer 1

Answer:

• g(x) = 6|x + 1| - 2

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Given:

• Function f(x) = 2|x + 3| - 2

Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).

Horizontal shrink by a factor of k is:

• g(x) = f(x/k)

Apply this to the given function:

• g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2