Question

Write a sine function that has a midline of 5, an amplitude of 4 and a period of 3/5

Answer 1

To answer this question, first, we have to recall that,

$f(x)=\sin x,$

has an amplitude of 2, a midline

$y=0,$

and a period of

$2\pi\text{.}$

Now, to change the amplitude we multiply the function by a constant in the following way:

$4\sin (x).$

For the new function to have a midline of y = 5, we have to translate the sine, 5 units up:

$undefined$