Question

Plz help me with this

Answer 1

Answer:
`\bold{A)\quad y=3\ cos\bigg(x-(\pi)/(2)\bigg)+3}`

Explanation:

`\text{The standard form of a cosine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }(2\pi)/(B)\\\\\bullet\text{Phase Shift = }(C)/(B)\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}`

In the graph,

• A (amplitude) = 3
• D (vertical shift) = +3

• P (period) =
  `(\pi)/(2)` to the right

`\implies \large\boxed{y=3\ cos\bigg(x-(\pi)/(2)\bigg)+3}`

see graph below as verification