I NEED HELP Find the equation of the graph given below. Notice that the sine function is used in the answer template, representing a sine function that is shifted and/or reflected.

Use the variable x in your equation rather than the multiplication × symbol.
y = __ sin (___) + (___)

Given:

The graph of a sine function.

To find:

The sine function.

Solution:

The general form of a sine function is

           ...(i)

Where, |A| is amplitude, is period, is phase shift and D is mid-line.

From the given graph it is clear that the minimum value of the function is -4 and the maximum value is 0.

The graph is reflected across the mid-line, so A=-2.

And,

Period of the function is 4π because it completer its one cycle in the interval of 4π.

Phase shift is .

Putting in (i), we get

Therefore, the required equation is .

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places