Question

What is the midline equation of the function h(x) = -4 sin (x- pi/4)

Answer 1

`y = \boxed0`

Explanation:

we are given a sin function

`\displaystyle h(x) = - 4 \sin(x -\pi /4)`

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

`\displaystyle f(x) = a \sin(bx -c) + d`

where the midline is

• 
  `y = d`

to figure out the midline rewrite the function

`\displaystyle h(x) = - 4 \sin(x -\pi /4) + 0`

therefore the midline is

`y = \boxed0`