Question

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

Answer 1

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 $(\frac{\pi}{4},-4)$

Answer 2

Answer:

Step-by-step explanation: