Question

how would i state the rule of the sine function if the following are given to me... amplitude: 1/2, period: pi/3 , phase shift: -pi/4 , vertical shift: 3

Answer 1

rule? do you mean how woudl you right the general solution?

Answer 2

yeah the general solution

Answer 3

what have you tried so far, or what do you know about the sine function and such

Answer 4

first what does the general solution look like in terms of a,b,c,d

Answer 5

f(x) = a sin (bx-c)+d

Answer 6

alright and amplitude is a correct so you can fill that pretty easily in. Also d is your vertical shift so those are two simple additions

Answer 7

i guess thats how they want me to write it.. given the amplitude is 1/2 , period pi/3 , phase shift is -pi/4 , and vertical shift is 3