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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.
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:
The translated function is given by:
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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