Math / Trigonometry

Question7 Multiple Choice 1 point
Determine the amplitude of the following graph. A. 2 B. 3 C. 4 D. 5 A $B$ $C$ D

Studdy Solution

STEP 1

1. The graph represents a sinusoidal wave.
2. The amplitude is the vertical distance from the midline of the wave to its peak or trough.
3. The wave oscillates between a maximum of 4 and a minimum of -2.

STEP 2

1. Identify the maximum and minimum values of the wave.
2. Calculate the amplitude using the maximum and minimum values.

STEP 3

Identify the maximum value of the wave, which is given as 4.
Identify the minimum value of the wave, which is given as -2.

STEP 4

Calculate the amplitude using the formula:
$\text{Amplitude} = \frac{\text{Maximum value} - \text{Minimum value}}{2}$
Substitute the maximum value (4) and the minimum value (-2) into the formula:
$\text{Amplitude} = \frac{4 - (-2)}{2} = \frac{4 + 2}{2} = \frac{6}{2} = 3$
The amplitude of the graph is:
$\boxed{3}$

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