Question

A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.

What is the equation for this cosine function?

Answer 1

Explanation:

Answer 2

The equation is "
`y=6 \ Cos((12)/(5)x)-5`". A further explanation is described below.

Explanation:

The given values are:

Period,

B =
`(5 \pi)/(6)`

=
`(12)/(5)`

Amplitude,

A = 6

Vertical translation down,

D = -5

As we know,

The equation of cosine function will be:

⇒
`y=A \ Cos(Bx)+D`

On substituting the values in the above equation, we get

⇒
`y=6 \ Cos((12)/(5)x)+(-5)`

⇒
`y=6 \ Cos((12)/(5)x )-5`