Question

0ÂFind the cos equation given amplitude: 1. period: vertical shift: -2, and horizontal shift:A. y = cos(70+)-2OB. y = cos(+) — 2Oc. y = cos(+)-2OD. y = cos(70+)-2Reset Selection

Answer 1

Given

The amplitude: 1.

The period: 2π/7.

Vertical Shift: -2.

Horizontal Shift: π/14.

To find:

The cos equation.

Step-by-step explanation:

It is given that,

The amplitude: 1.

The period: 2π/7.

Vertical Shift: -2.

Horizontal Shift: π/14.

That implies,

Since

`y=A\cos(B(x+C))+D`

Then,

`\begin{gathered} A=1 \\ P=(2\pi)/(7) \\ \Rightarrow(2\pi)/(B)=(2\pi)/(7) \\ \Rightarrow B=7 \\ D=-2 \\ C=(\pi)/(14) \end{gathered}`

Therefore,

The cos equation is,

`\begin{gathered} y=1\cos(7(\theta+(\pi)/(14)))+(-2) \\ y=\cos(7\theta+(\pi)/(2))-2 \end{gathered}`

Hence, the answer is option A).