Question

F(x)=x-7; vertical stretch of 3 g(x)

Answer 1

The function that represents the vertical stretch by a factor of 3 of f(x) is given as follows:

g(x) = 3x - 21.

How are vertical stretches and compression applied to the graph of a function f(x)?

Vertical stretches or compression to the graph of a function f(x) are applied by the multiplication of a constant a to the function, as follows:

g(x) = a x f(x).

Then the value of the constant determines if it is an stretch or a compression.

• If the absolute value of the constant a is greater than 1, it is a stretch.

• If the absolute value of the constant a is less than 1, it is a compression.

For this problem, we want a vertical stretch with a factor of 3, then the constant is given as follows:

a = 3.

Then the definition of function g(x) is given by:

g(x) = 3f(x)

g(x) = 3(x - 7)

g(x) = 3x - 21.

More can be learned about transformations of functions at brainly.com/question/28810470

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