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# Write an equation for the translation of the function. y = cos x; translated 6 units up.

**Solution:**

If the function y = cos x is translated 6 units can have two implications:

- The transformed function becomes y = 6cosx or
- The transformed function becomes y = cos6x

Stretching is observed in both cases. Both transformations have been depicted in the graph below:

- Graph of 6 cos x has stretched vertically with the increase in the amplitude of y = cos x.
- While the function cos 6x has stretched vertically as compared to the graph of cos x but its vertical stretch is quite small when compared to y = 6cosx

## Write an equation for the translation of the function. y = cos x; translated 6 units up.

**Summary:**

The equation(s) for the translation of the function. y = cos x; translated 6 units up is 6cos(x).

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