sider the function f(x) ) = 2 sin (4(x - (x − 3)) + 4. State the amplitude A, period P, and line. State the phase shift and vertical translation. In the full period [0, P], state the maximum and imum y-values and their corresponding a-values. er the exact answers. -plitude: A = 2 od: P = 8 Hline: y = - phase shift is vertical translation is up 4 units Number ts for the maximum and minimum values of f(x): Tand 2 3 and - The maximum value of y= sin(x) is y= 1 and the corresponding a values are x = multiples of 2 7 less than and more than this à value. You may want to solve (x 3) = The minimum value of y = sin(x) is y = −1 and the corresponding a values are multiples of 2 7 less than and more than this æ value. You may want to solve 4 (x − 3) = If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles. If you get a value for x that is more than P, you could subtract multiples of P to get into the previous cycles. 2 = 3 units to the right x in the interval [0, P], the maximum y-value and corresponding x-value is at: = x in the interval [0, P], the minimum y-value and corresponding x-value is at: AD AD
sider the function f(x) ) = 2 sin (4(x - (x − 3)) + 4. State the amplitude A, period P, and line. State the phase shift and vertical translation. In the full period [0, P], state the maximum and imum y-values and their corresponding a-values. er the exact answers. -plitude: A = 2 od: P = 8 Hline: y = - phase shift is vertical translation is up 4 units Number ts for the maximum and minimum values of f(x): Tand 2 3 and - The maximum value of y= sin(x) is y= 1 and the corresponding a values are x = multiples of 2 7 less than and more than this à value. You may want to solve (x 3) = The minimum value of y = sin(x) is y = −1 and the corresponding a values are multiples of 2 7 less than and more than this æ value. You may want to solve 4 (x − 3) = If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles. If you get a value for x that is more than P, you could subtract multiples of P to get into the previous cycles. 2 = 3 units to the right x in the interval [0, P], the maximum y-value and corresponding x-value is at: = x in the interval [0, P], the minimum y-value and corresponding x-value is at: AD AD
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the function f(x) = 2 sin (4(x − 3)) + 4. State the amplitude A, period P, and
midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and
minimum y-values and their corresponding a-values.
Enter the exact answers.
Amplitude: A = 2
Period: P
Midline: y = Number
The phase shift is
The vertical translation is up 4 units
Hints for the maximum and minimum values of f(x):
=
3 and
• The maximum value of y= sin(x) is y = 1 and the corresponding x values are x =
multiples of 2 7 less than and more than this a value. You may want to solve(x − 3)
• The minimum value of y = sin(x) is y = −1 and the corresponding a values are x =
multiples of 27 less than and more than this à value. You may want to solve 4 (x − 3) =
3 T
2
●
If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles.
• If you get a value for x that is more than P, you could subtract multiples of P to get into the
previous cycles.
x =
= 8
For x in the interval [0, P], the maximum y-value and corresponding x-value is at:
y =
3 units to the right
x =
For x in the interval [0, P], the minimum y-value and corresponding x-value is at:
y =
and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa5f2882-5062-4aed-aa87-941121be8da3%2F9ee49ae8-d42b-4dc1-96a9-4033fedf8b45%2Fyi166x_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2 sin (4(x − 3)) + 4. State the amplitude A, period P, and
midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and
minimum y-values and their corresponding a-values.
Enter the exact answers.
Amplitude: A = 2
Period: P
Midline: y = Number
The phase shift is
The vertical translation is up 4 units
Hints for the maximum and minimum values of f(x):
=
3 and
• The maximum value of y= sin(x) is y = 1 and the corresponding x values are x =
multiples of 2 7 less than and more than this a value. You may want to solve(x − 3)
• The minimum value of y = sin(x) is y = −1 and the corresponding a values are x =
multiples of 27 less than and more than this à value. You may want to solve 4 (x − 3) =
3 T
2
●
If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles.
• If you get a value for x that is more than P, you could subtract multiples of P to get into the
previous cycles.
x =
= 8
For x in the interval [0, P], the maximum y-value and corresponding x-value is at:
y =
3 units to the right
x =
For x in the interval [0, P], the minimum y-value and corresponding x-value is at:
y =
and
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