With respect to the parent function y = cos x, we have these function according to the order of the graphs:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
How to find the functions corresponding to each graph based on the period of a function
Mathematically speaking, cosines are periodic functions and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. Period in daughter functions may vary by means of the following form:
y = cos Ax (1)
Where:
- x - Independent variable
- y - Dependent variable
- A - Period width
Please notice that daughter functions report periods longer than in the parent function for 0 < A < 1 and a shorter one for A > 1. In consequence, these functions appear in the following order:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
To learn more on periodic functions: https://brainly.com/question/26369761
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