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Given the graph of y = a sin b(x + c) +d, determine the amplitude.

A -1
C 6
B
3
D 12
- 27
9 Y
2T

1 Answer

4 votes

Answer:

Explanation:

The general equation for a sinusoidal function of the form y = a sin b(x + c) + d is:

a is the amplitude (the maximum displacement from the midline).

b determines the period (the distance between two consecutive peaks or troughs).

c is the horizontal shift (the amount by which the graph is shifted horizontally).

d is the vertical shift (the amount by which the graph is shifted vertically).

From the given information, we can see that:

The amplitude is not given.

b = 3, which means the period is 2π/3.

c = 6, which means the graph is shifted 6 units to the left.

d = 9, which means the graph is shifted 9 units up.

Since the amplitude is not given, we need to look at the graph to determine it. However, the graph is not provided, so we cannot determine the amplitude with the given information.

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