Consider the function f (x) = 4sin ( T (x 5)) + 8. 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 x-values. Enter the exact answers. Amplitude: A = Number Period: P = Midline: y = Number The phase shift is Click for List The vertical translation is Click for List Hints for the maximum and minimum values of f (x):

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 49E
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Consider the function f(æ) = 4 sin
4
(T (x –
midline. State the phase shift and vertical translation. In the full period [o, P], state the maximum and
+ 8. State the amplitude A, period P, and
minimum y-values and their corresponding r-values.
Enter the exact answers.
Amplitude: A = Number
Period: P =
Midline: y =
Number
%3D
The phase shift is
Click for List
The vertical translation is
Click for List
Hints for the maximum and minimum values of f (x):
• The maximum value of y = sin (x) is y = 1 and the corresponding r values are r =
and
2
multiples of 2 7 less than and more than this x value. You may want to solve (z – 5) =
21
3 T and
= - =
• The minimum value of y = sin (x) is y
1 and the corresponding x values are r
2
multiples of 2 T less than and more than this x value. You may want to solve 4 (x - 5) =
T
• 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.
Transcribed Image Text:Consider the function f(æ) = 4 sin 4 (T (x – midline. State the phase shift and vertical translation. In the full period [o, P], state the maximum and + 8. State the amplitude A, period P, and minimum y-values and their corresponding r-values. Enter the exact answers. Amplitude: A = Number Period: P = Midline: y = Number %3D The phase shift is Click for List The vertical translation is Click for List Hints for the maximum and minimum values of f (x): • The maximum value of y = sin (x) is y = 1 and the corresponding r values are r = and 2 multiples of 2 7 less than and more than this x value. You may want to solve (z – 5) = 21 3 T and = - = • The minimum value of y = sin (x) is y 1 and the corresponding x values are r 2 multiples of 2 T less than and more than this x value. You may want to solve 4 (x - 5) = T • 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.
For x in the interval [0, P], the maximum y-value and corresponding x-value is at:
國団
For æ in the interval [0, P], the minimum y-value and corresponding x-value is at:
FO
Transcribed Image Text:For x in the interval [0, P], the maximum y-value and corresponding x-value is at: 國団 For æ in the interval [0, P], the minimum y-value and corresponding x-value is at: FO
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