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Effectus [21]
2 years ago
9

Plz help/ Trigonometric models and sine functions: plz show how you got and the GRAPH! Thx to anyone that can help

Mathematics
2 answers:
Shtirlitz [24]2 years ago
7 0

Answer:

y=-2\sin(2x)-2 - The graph is attached below.

Step-by-step explanation:

Given : A sine function has the following key features:

Period = π , Amplitude = 2,  Midline: y = -2 , y-intercept: (0,-2)

The function is a reflection of its parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is y=A sin(Bx)+C

Where A is the amplitude

B=\frac{2\pi}{\text{Period}}

C is the midline    

Substitute the given key features  

A=2 , C=-2  

B=\frac{2\pi}{\pi}=2

The sin function is  y=2\sin(2x)-2

The function is a reflection of its parent function over the x-axis.

i.e, The coordinate became (x,y)→(x,-y)

The sin function is y=-2\sin(2x)-2

Now, We plot the graph of the sin function.

The graph is attached below.  

First point is midline i.e, (0,-2)

Minimum point is (\frac{\pi}{4},-4)

Vaselesa [24]2 years ago
5 0

Answer:

Step-by-step explanation:

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