Answer:
y = sin(x- pi/2)
Step-by-step explanation:
Please see the attached image to see your graphs.
By simple inspection we can see that the sine is shifted pi/2 to the right.
We know this because sines are periodic functions with a period T = 2*pi
We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.
And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.
Answer:
or
Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
we have
therefore
The slope m of the line parallel to the given line is
step 2
Find the equation of the line in point slope form
we have
substitute
----> equation of the line in point slope form
step 3
Find the equation of the line in slope intercept form
we have
Isolate the variable y