Consider the function f(2)=2 sin ((z-3)) +6. 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 z-values. Enter the exact answers. Amplitude: A-2 Period: P Midline: y The phase shift is The vertical translation is

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(x) = 2 sin ((z-3)) + 6. 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 z-values.
Enter the exact answers.
Amplitude: A2
Period: P =
[a]
8
6
Midline: y =
The phase shift is
The vertical translation is
Hints for the maximum and minimum values of f(z):
• The maximum value of y=sin(z) is y= 1 and the corresponding z values are z = 품 and
multiples of 2 * less than and more than this z value. You may want to solve (z-3)=
• The minimum value of y=sin (z) is y=-1 and the corresponding z values are x = 3 and
multiples of 2 * less than and more than this value. You may want to solve (z-3)
• If you get a value for z that is less than 0, you could add multiples of P to get into the next cycles.
• If you get a value for z that is more than P, you could subtract multiples of P to get into the
previous cycles.
For z in the interval [0, P], the maximum y-value and corresponding z-value is at
sin(a)
B
Ⓡ
Transcribed Image Text:Consider the function f(x) = 2 sin ((z-3)) + 6. 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 z-values. Enter the exact answers. Amplitude: A2 Period: P = [a] 8 6 Midline: y = The phase shift is The vertical translation is Hints for the maximum and minimum values of f(z): • The maximum value of y=sin(z) is y= 1 and the corresponding z values are z = 품 and multiples of 2 * less than and more than this z value. You may want to solve (z-3)= • The minimum value of y=sin (z) is y=-1 and the corresponding z values are x = 3 and multiples of 2 * less than and more than this value. You may want to solve (z-3) • If you get a value for z that is less than 0, you could add multiples of P to get into the next cycles. • If you get a value for z that is more than P, you could subtract multiples of P to get into the previous cycles. For z in the interval [0, P], the maximum y-value and corresponding z-value is at sin(a) B Ⓡ
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I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on that.  It is the last part of the question in the picture.

 

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