Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Answer 1

With respect to the parent function y = cos x, we have these function according to the order of the graphs:

1. cos x
2. cos (1/2)x
3. cos 4x
4. cos 2x
5. 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:

1. cos x
2. cos (1/2)x
3. cos 4x
4. cos 2x
5. cos (1/4)x

To learn more on periodic functions: brainly.com/question/26369761

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