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.

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,

$\begin{gathered} A=1 \\ P=\frac{2\pi}{7} \\ \Rightarrow\frac{2\pi}{B}=\frac{2\pi}{7} \\ \Rightarrow B=7 \\ D=-2 \\ C=\frac{\pi}{14} \end{gathered}$

Therefore,

The cos equation is,

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

Hence, the answer is option A).