Question

What is the phase shift, vertical displacement with respect to `y=sinx` for the graph `y=2sin(x+50^circ)-10`?

Answer 1

`"phase shift "=-50^@`
`"vertical shift "=-10`

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)|)))`

`"amplitude "=|a|," period "=360^@/b`

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

`"here " a=2,b=1,c=50^@,d=-10`

`rArr"phase shift "=-50^@," vertical shift "=-10`