y y 6- 6F 4 2 3 -2 2 -2 2 2 -4 -6 -8 -8- State the amplitude, period, and midline. amplitude 6. period 2 midline y = 0 Determine the exact maximum and minimum y-values and their corresponding x-values for one period where x > 0. (For each answer, use the first occurrence for which x > 0.) (х, у) %3D (| 0,6 maximum (x, y) = 1, – 6 minimum

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Graph two full periods of the function.

f(x) = 6 cos(?x)
 
 
 
i need help finding the maximum please
### Description of the Image:

The image displays two graphs of sinusoidal functions on a Cartesian plane.

#### Graph 1:
- **Axes**: The x-axis ranges from -2 to 2, and the y-axis ranges from -8 to 8.
- **Graph**: This is a sinusoidal wave oscillating between -6 and 6.
- **Period**: The graph completes one full cycle over a range of 2 units on the x-axis.
- **Midline**: Positioned at \( y = 0 \).

#### Graph 2:
- **Axes**: Similar to the first graph, the x-axis spans from -2 to 2, and the y-axis spans from -8 to 8.
- **Graph**: Another sinusoidal wave also oscillating between -6 and 6.
- **Period**: Completes one full cycle over 2 units on the x-axis.
- **Midline**: Also positioned at \( y = 0 \).

### Instructions:

#### Calculate the following for each graph:
- **Amplitude**: The maximum distance from the midline to the peak of the wave.
- **Period**: The distance along the x-axis for the function to return to its starting value.
- **Midline**: The horizontal line that runs through the center of the wave.

### Given Solutions:

- **Amplitude**: 6
- **Period**: 2
- **Midline**: \( y = 0 \)

#### Determine the maximum and minimum y-values and their corresponding x-values for one period where \( x > 0 \):
- **Maximum (x, y)**: \((0, 6)\)
- **Minimum (x, y)**: \((1, -6)\)

The checkmarks indicate correct entries, while an "x" indicates an incorrect entry for the maximum point's \(x\)-value.
Transcribed Image Text:### Description of the Image: The image displays two graphs of sinusoidal functions on a Cartesian plane. #### Graph 1: - **Axes**: The x-axis ranges from -2 to 2, and the y-axis ranges from -8 to 8. - **Graph**: This is a sinusoidal wave oscillating between -6 and 6. - **Period**: The graph completes one full cycle over a range of 2 units on the x-axis. - **Midline**: Positioned at \( y = 0 \). #### Graph 2: - **Axes**: Similar to the first graph, the x-axis spans from -2 to 2, and the y-axis spans from -8 to 8. - **Graph**: Another sinusoidal wave also oscillating between -6 and 6. - **Period**: Completes one full cycle over 2 units on the x-axis. - **Midline**: Also positioned at \( y = 0 \). ### Instructions: #### Calculate the following for each graph: - **Amplitude**: The maximum distance from the midline to the peak of the wave. - **Period**: The distance along the x-axis for the function to return to its starting value. - **Midline**: The horizontal line that runs through the center of the wave. ### Given Solutions: - **Amplitude**: 6 - **Period**: 2 - **Midline**: \( y = 0 \) #### Determine the maximum and minimum y-values and their corresponding x-values for one period where \( x > 0 \): - **Maximum (x, y)**: \((0, 6)\) - **Minimum (x, y)**: \((1, -6)\) The checkmarks indicate correct entries, while an "x" indicates an incorrect entry for the maximum point's \(x\)-value.
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