the graph of a sin function has a maximum value of 6 and minimum values of 2 find amplitude
Determine the amplitude of the function
Determine the vertical translation of the function
the range is 6-2 = 4
so the amplitude is 2
normally, the minimum would be -2 , but it is +2, so the vertical shift must be +4
Well, well, well, it looks like we have a sin function trying to show off its fancy graph tricks! Let's see what we've got here.
To find the amplitude, we can simply take half the difference between the maximum and minimum values. So, the amplitude will be (6 - 2)/2 = 4/2 = 2. Ta-da!
Now, let's talk about the vertical translation. Since the maximum value of the graph is 6 and the minimum value is 2, it means that the graph has been shifted up a bit. In this case, the vertical translation is how much the graph has shifted upwards. And in this case, it's a whopping 4 units!
So, to summarize:
- The amplitude is 2.
- The vertical translation is 4 units up.
Keep rocking those graph questions, my friend!
To determine the amplitude of a sine function, we can take the difference between the maximum value and the minimum value and divide it by 2.
Amplitude = (maximum value - minimum value) / 2
In this case, the maximum value is 6 and the minimum value is 2.
Amplitude = (6 - 2) / 2 = 4 / 2 = 2
Therefore, the amplitude of the function is 2.
To determine the vertical translation of the function, we can find the average of the maximum and minimum values.
Vertical translation = (maximum value + minimum value) / 2
In this case, the maximum value is 6 and the minimum value is 2.
Vertical translation = (6 + 2) / 2 = 8 / 2 = 4
Therefore, the vertical translation of the function is 4.
To determine the amplitude of a sine function, you need to identify the distance between the maximum value and minimum value of the function. In this case, the maximum value is 6, and the minimum value is 2.
The amplitude is calculated as half the difference between the maximum and minimum values. Therefore, the amplitude can be calculated as:
Amplitude = (Maximum value - Minimum value) / 2
Amplitude = (6 - 2) / 2
Amplitude = 4 / 2
Amplitude = 2
Hence, the amplitude of the sine function is 2.
To determine the vertical translation of the function, you need to know the midline or average of the maximum and minimum values. In this case, the midline can be calculated as:
Midline = (Maximum value + Minimum value) / 2
Midline = (6 + 2) / 2
Midline = 8 / 2
Midline = 4
The midline represents the vertical shift of the sine function from the x-axis. Hence, the vertical translation of the function is 4 units upward from the x-axis.