Question

describe the change in the graph of f(×)=x g(x) =3f (x-1)

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

Describe the change in the graph of f(×)=x

 g(x) =3f (x-1)

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Step 2:

Now, we need to sketch the graphs of the two functions:

$\begin{gathered} f(x)\text{ = x} \\ and \\ g(x)\text{ = 3 f(x-1)} \end{gathered}$

Step 3:

With the help of the graphs, we can see clearly that:

A number outside the function notation shows a vertical stretch or shrink. Since the number is > 1, it represents a vertical stretch by a factor of 3.

There is also a translation to the right on the x-axis by 1 unit --- OPTION C