Respuesta :

Answer:

1). The correct answer is  letter A)  

6). The correct answer is letetr D)

Step-by-step explanation:

Let be the equation of a sin function:

[tex]sin(x)=Asin(B(x+C))+D[/tex]

Where:

  • A is the amplitude
  • The period is 2π/B
  • C is the phase shift left
  • D is the vertical shift

We can see from the image of the problem (6):

The amplitude is: A = 3 units

The vertical shift is: D = 6 units    

The phase shift is:  C = π

The period is : P = 4π = 2π/B then B = 1/2

Therefore the correct answer is letetr D)

[tex]sin(x)=3sin(0.5(x+\pi))+6[/tex]

In the problem (1) we have:

The amplitude is: A = -2 units

The vertical shift is: D = 6 units    

The phase shift is:  C = π/4

The value of B = 1

Then the correct answer is  letter A)  

I hope it helps you!