Question

fall 2025
0 pm
graph (sin/cos)
trig graph (sin/cos)
graph (sin/cos)
graph (sin/cos)
ry (sin/cos) l1
ry (sin/cos)
ry (sin/cos) l2
hs in context
question
determine the amplitude of the following graph.
answer
attempt 1 out of 2
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Explanation:

Step1: Recall the formula for amplitude

The amplitude \( A \) of a sinusoidal function \( y = A\sin(Bx - C)+D \) or \( y = A\cos(Bx - C)+D \) is given by \( |A| \). It represents half the distance between the maximum and minimum values of the function.

Step2: Identify the maximum and minimum values from the graph

From the graph, assume the maximum value \( y_{max} \) and minimum value \( y_{min} \). Let's say (by visual inspection of the sinusoidal - like graph) if we consider the vertical distance. Suppose the maximum value \( y_{max}\) and minimum value \( y_{min}\). The formula for amplitude \( A=\frac{y_{max}-y_{min}}{2}\). If we assume the graph oscillates between \( y = 1\) and \( y=- 1\) (a standard - like sinusoidal graph in terms of amplitude calculation concept, since the general form of amplitude is half of the peak - to - peak distance).

Answer:

The amplitude is \(1\)