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24 October, 10:01

The graph of function g is a vertical stretch of the graph of function f by a factor of 3.

Which equation describes function g?

A. g (x) = 3f (x)

B. g (x) = f (3x)

C. g (x) = f (x3)

D. g (x) = 13f (x)

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Answers (1)
  1. 24 October, 10:29
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    Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.

    Now we have to find about which equation describes function g.

    We know that if f (x) is the given function then a*f (x) gives vertical stretch or compress by a factor of a.

    when 0
    when a>1 then it stretches vertically by factor of a.

    Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f (x)

    Hence final answer will be g (x) = 3f (x).

    So choice A is correct answer.
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