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The parent cosine function is transformed to create function d.
d(x) = cos(2x – 1) + 5
To create function d, the graph of the parent cosine function undergoes these transformations:
horizontal shift
vertical shift
frequency

The parent cosine function is transformed to create function d dx cos2x 1 5 To create function d the graph of the parent cosine function undergoes these transfo class=

Respuesta :

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:

[tex]f(x) = \cos{x}[/tex]

The translated function is given by:

[tex]d(x) = \cos{(2x - 1)} + 5[/tex]

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 https://brainly.com/question/4521517

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mythforev16

Answer:

I know for a fact that the second box is up 5 units and the third box is increases by a factor of 2

I think the first box might be right 0.5 unit, but I can’t be 100% sure

Step-by-step explanation:
Got the second and third boxes right on the test

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