Question

What is the equation of the midline of the function f(x) = 5.6sin (2.6x - 4.2) - 9.1?

y = -9.1
y = -4.2
y = 4.2
y = 9.1

I think it's D?

Answer 1

answer: your correct 9.1

Answer 2

   Option (A) will be the correct option.

Equation of a sine wave:

• If the equation of a sine wave is given by,

        $y=a\text{sin}[b(x+c)]$

        Midline of the sine wave → y = 0

Given in the question,

• Equation of the sine wave

        $y=5.6\text{sin}(2.6x-4.2)$

        Midline of the sine wave → y = 0 Or x-axis

If the wave function is shifted by 9.1 units downwards, equation of the transformed wave will be,

         $y=5.6\text{sin}(2.6x-4.2)-9.1$

And the midline will be shifted by 9.1 units downwards also.

     Therefore, equation of the midline will be → y = -9.1

                        Option (A) will be the answer.

     

Learn more about the sine wave function here,

https://brainly.com/question/12078395?referrer=searchResults