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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 5E
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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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