The curve y=sin(x)+pi/2 will experience which transformation from the function y=sin(x)
1)A shift pi/2units right
2)none of the above
3)A shift pi/2 united down
4)A shift pi/2 units up
5)A shift pi/2 units left
4. when x is zero, y=pi/2
3)A shift pi/2 united down
1)A shift pi/2units right
To determine the transformation that the curve y = sin(x) + pi/2 experiences, we need to compare it to the original function y = sin(x).
The general form of a sinusoidal function is y = a*sin(b(x - h)) + k, where (h,k) represents the shift in the x and y directions, respectively.
In the given function y = sin(x) + pi/2, we can see that there is an addition of pi/2 to the original function y = sin(x).
This addition shifts the graph of the function vertically. Since the positive addition of pi/2 moves the graph up, we can deduce that the curve y = sin(x) + pi/2 goes through a shift pi/2 units up.
Therefore, the correct option is:
4) A shift pi/2 units up.