Question

Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2, and a vertical shift up 3 units.

Answer 1

general form

Answer 2

thank you

Answer 3

The general sin x is

y = A sin [2*Pi/per.*( x- p.s.)] + v.s.

A = amplitude
per. = period
p.s. = phase shift or horizontal shift
v.s. = vertical shift

Answer 4

Do you know the answer?

Answer 5

now you can substitute :)

Answer 6

amplitude of 1, a period of pi/2, and a vertical shift up 3 units.

y = A sin [2*Pi/per.*( x- p.s.)] + v.s.

y = 1 sin [2pi / (pi/2) *( x - 0) ] + 3

Answer 7

and you can simplify that

Answer 8

y= 1sin [2 pi/ pi/2] (x-0)] +3

Answer 9

yeah thank u

Answer 10

right, and 2pi / (pi/2) = 2pi * 2/pi = 4