Question

(b)The graph of y = g(x) is shown. Draw the graph of g(2x). Will award 100 Brainly points

Answer 1

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

Horizontal stretch and compression

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

• If a > 1, it is a compression by a factor of 1/a.

• If a < 1, it is a stretch by a factor of 1/a.

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

• (0,0).

• (1,-4).

• (2,-2).

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

More can be learned about transformations at brainly.com/question/28725644
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