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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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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