Question

The parent cosine function is transformed to create function d.

Answer 1

Using translation concepts, it is found that the parent cosine function undergoes these following transformations:

• Horizontal shift of 1 unit to the right.

• Vertical shift of 5 units up.

• The frequency was 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.

The parent cosine function is given by:

$f(x) = \cos{x}$

The translated function is given by:

$d(x) = \cos{(2x - 1)} + 5$

The changes were as follows:

• 1 was subtracted at the domain, hence it had a horizontal shift of 1 unit to the right.

• 5 was added to the function, hence it had a vertical shift of 5 units up.

• The domain was multiplied by 2, hence the frequency was multiplied by 2.

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

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