Question

write an equation of a cosine function with a > 0, amplitude 3, and period pi.

Answer 1

HI!!

Answer 2

hello

Answer 3

amplitude of 3 means put a 3 out front like this
\[f(x)=3\cos(bx)\] now we only need \(b\)

Answer 4

you want the period to be \(\pi\) right?

Answer 5

yes

Answer 6

I appreciate your help. I've been stairing at this for about 40 minutes

Answer 7

to find \(b\) set
\[\frac{2\pi}{b}=\pi\]and solve for \(b\)

Answer 8

you get \(b=2\) pretty much in your head

Answer 9

yep

Answer 10

final answer
\[f(x)=3\cos(2x)\] that is all

Answer 11

ok I was making this way harder in my head. Appreciate the help.

Answer 12

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