Question

What is the amplitude, period, phase shift and vertical displacement of `y=sinx+1`?

Answer 1

`1,2pi,0,1`

Explanation:

`"the standard form of the sine function is"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))`

`"where amplitude "=|a|," period "=(2pi)/b`

`"phase shift "=-c/b," vertical shift "=d`

`"here "a=1,b=1,c=0,d=1`

`rArr"amplitude "=|1|=1," period "=(2pi)/1=2pi`

`"there is no phase shift and vertical displacement "=+1`