Question

Select the correct answer from each drop-down menu.

Answer 1

Using translation concepts, it is found that the transformations to create function d are given as follows:

• Horizontal shift right 1 unit.

• Vertical shift up 5 units.

• Frequency multiplied by 2.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

• 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.

• 5 was added in the range, hence there was a vertical shift up 5 units.

• There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

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