The general equation of the sine function y=f(x) is defined as

where A is the Amplitude
B represents the frequency of the function with period equals 
C represents the Horizontal shift, For Phase shift= -C/B
D represents the Vertical shift.
The data given that the amplitude of the function A=6

Vertical shift 
Horizontal Shift 
Now plug in
in the general equation of sine function, we get

The function with the same end behavior of f(x) is the last option:

<h3>
Which function has the same end behavior of f(x)?</h3>
By looking at the graph, we can see that the end behavior of f(x) is:
as x → ∞; f(x) → -∞
as x → -∞; f(x) → ∞
Then we just want a function that depends linearly with x and that has a negative coefficient.
The correct option is the last one:

Where clearly, when x tends to infinity the function tends to negative infinity, and when x tends to negative infinity, the function tends to infinity.
If you want to learn more about end behavior:
brainly.com/question/1365136
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Answer:
x° = 131°
Step-by-step explanation:
The two marked angles are on opposite sides of the transversal, so they are called "alternate" angles. They are both between the parallel lines, so they are called "interior" angles.
In this geometry, <em>alternate interior</em> angles are congruent. They have the same measure. x° = 131°.
Find the vertical and horizontal difference between the two given points:
Horizontal is the Y values: 4 - -4 = 4+4 = 8
Vertical is the X values 7 - -1 = 7+1 = 8
Multiply the changes by the ratio:
Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)
8 * 1/4 = 2