Question

PLZ ANSWER QUICKLY!!!!!!!! What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2?

Answer 1

I know, my computer won't let me write the mathematical symbols right but here:

f (x) = 3 cos (2x) + 2

I know I KNOW, the symbols aren't actually normal shaped like that but if they were, it'd basically be that.

Answer 2

y = 3cos(2x) + 2

Explanation:

A cosine function is represented by y = acos(bx + c) + d

a = amplitude

b =
`\frac{2\pi }{\text{Period}}`

c = horizontal shift

d = vertical shift

Given values of a = 3

period = π =
`(2\pi )/(b)`

So, b =
`(2\pi )/(\pi )=2`

Horizontal shift c = 0

and d = 2

Therefore,
`y=3cos(2x+0)+2` will be the equation.