Answer :
By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.
How to find the resulting function by transformation rules
Transformation rules are rules that makes changes on charateristics and behavior of a function to create a new one. Rigid transformations like horizontal and vertical translations are examples of transformation rules. In this question we must apply the following transformation rules to the parent cosine function f(x) = cos x:
- Horizontal translation: f'(x) = f(x - 7) (1)
- Vertical translation: g(x) = f'(x) + 4 (2)
Now we proceed to derive the resulting function by applying the rules defined above:
Horizontal translation
f'(x) = cos (x - 7) (3)
Vertical translation
g(x) = cos (x - 7) + 4 (4)
By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.
To learn more on transformation rules: https://brainly.com/question/9201867
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