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The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.y =-A-6-9-10

Question
The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
y =
-A
-6
-9
-10
help_outline

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The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. y = -A -6 -9 -10

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check_circleAnswer
Step 1

Given graph resembles a cosine from π to 3π/4 with amplitude 5.

4T
The period
= T
4
Period COs base periodicity
b
27T
b
27T
b=
2
So, vertical shift is -5 and horizontal shift is -/2
C
-T
4
2
-(2)
C =
2
help_outline

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4T The period = T 4 Period COs base periodicity b 27T b 27T b= 2 So, vertical shift is -5 and horizontal shift is -/2 C -T 4 2 -(2) C = 2

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Step 2

Now substitute the values of A, B, C and D i...

y Acos(Bx-C)+D
y = 5cos 2x
-5
y5cos 2x
- 5
2
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y Acos(Bx-C)+D y = 5cos 2x -5 y5cos 2x - 5 2

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Trigonometry

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