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Charra [1.4K]
2 years ago
12

2. Find the cosine function that is represented in the graph.

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
4 0

Answer:

f(x) = cos(x - \frac{\pi }{4} ) -1

Step-by-step explanation:

In this graph, we have the coordinate point (\frac{\pi }{4} , 0). Without translations, cos(0) = 0, which means that the graph is shifted to the right by \frac{\pi }{4}. We also know that the graph is shifted down by 1 because we have the point

(\frac{5\pi }{4} , -2), but accounting for the right shift, this point should really by (\pi , -2). cos(\pi) = -1, but on the graph it is -2, meaning that it is shifted down by 1.

Therefore, accounting for the right shift by \frac{\pi }{4} and the shift down by 1, our equation is f(x) = cos(x - \frac{pi}{4} ) - 1.

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