jojofze
contestada

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

Respuesta :

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:

y = 3cos(2x) + 2

Step-by-step explanation:

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

a = amplitude

b = [tex]\frac{2\pi }{\text{Period}}[/tex]

c = horizontal shift

d = vertical shift

Given values of a = 3

period = π = [tex]\frac{2\pi }{b}[/tex]

So, b = [tex]\frac{2\pi }{\pi }=2[/tex]

Horizontal shift c = 0

and d = 2

Therefore, [tex]y=3cos(2x+0)+2[/tex] will be the equation.