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Drupady [299]
3 years ago
10

Write the equation of the graph

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

y = 2.cos(x) - 2

Step-by-step explanation:

1. Shifting cos(x) right or left, top or down, as the graph in the question has the same illustration of  cos(x). Consider

y = a.cos(x) + b

2. find a and b by using two sample points from the graph: (0, 0) and (\pi, -4)

0 = a.cos(0) + b  => a + b = 0\\ -4 = a.cos(\pi) + b => b-a=-4\\\left \{ {{2b=-4} \atop {2a=4}} \right.\\a = 2, b=-2\\

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<h3>How to determine the area of the figures?</h3>

The area of a rectangle is:

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Since this is matching with the info we are given, Option A is correct.

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