Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex]
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 function is given by:
[tex]y = \cos{x}[/tex]
The transformations are as follows:
- Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].
- Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].
- Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.
- Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]
- Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.