Some would be appreciated

what is the equation of the midline of the sinusoidal function?

max = 5, min = -1

mid = (5-1)/2 = 2

{observe for sinx,

max = 1, min, = -1, mid=0}

since mid=2 we can let the function

y=a•sin(bx+c)+2

2a=max-min=6

a=3

y=3sin(bx+c)+2

the graph cross (0,2) so

2=3sin(c)+2

3sin(c)=0

c=0 or c=π

since the graph go down after (0,2), then we choose c=π.

max=5 with x=-1, so

5=3sin(-b+π)+2

sin(-b+π)=1

b=π/2

at last the get the exact equation, that's

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.