How do you find the amplitude, period, vertical and phase shift and graph y=sintheta+0.25?

1 Answer
Jul 26, 2018

Below

Explanation:

y=sintheta+0.25 can also be written as y=0.25+sintheta which is in the form y=b+asin(ntheta)
where a is the amplitude and b is the shift upwards or downwards and n is the phase shift

Now when we compared y=0.25+sintheta and y=b+asin(ntheta), we can say that:

b=0.25
a=1
period(T)=(2pi)/n=(2pi)/1=2pi

Therefore, we know that y=sintheta+0.25 is the graph y=sintheta shifted UPWARDS by 0.25 units and they also have the same phase shift (2pi)

Below is graph y=sintheta

graph{sinx [-10, 10, -5, 5]}

Below is graph y=sintheta+0.25

graph{0.25+sinx [-10, 10, -5, 5]}