Respuesta :

19allenethm

Answer:

A: [tex]y=-3sin(2(x+\pi))+2[/tex]

Step-by-step explanation:

As all of the functions are sin functions, the option must be negative due to the shape of the graph.

This narrows down the options to A and B

When looking at b, it has a period of [tex]2\pi[/tex] which is not equivalent to the given graph that has a period of [tex]\pi[/tex]

Function A has a period of [tex]\pi[/tex] and is negative, so it is the correct option

kudzordzifrancis

Answer:

[tex]y=-3\sin(2(x+\pi)+2[/tex]

Step-by-step explanation:

The graph completes two cycles on the interval [tex][-\pi,\pi][/tex].

This implies that, the graph has a period of [tex]\pi[/tex].

The functions is a sine function that is reflected in the x-axis and shifted up by 2 units.

The range of the graph is -1 to 5.

This means that the amplitude is 6/2=3

The graph is also shifted to the right [tex]\pi[/tex] units

The function is

[tex]y=-3\sin(2(x+\pi)+2[/tex]

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