I'm given some sort of curve with these points defined (-pi/2 , -1) and (pi/2,1)
ok now I have to do this
f(x+2)
so I have to shift all the x cordinates over two...
how do I do this
-pi/2 - 2
To shift the x-coordinates of the given points by 2 units to the left, you subtract 2 from each x-coordinate.
For the point (-pi/2, -1), we have:
New x-coordinate: (-pi/2) - 2 = -pi/2 - 2 = -pi/2 - 4/2 = -pi/2 - 2 = -pi/2 - pi = -3pi/2
Now, we have the new point: (-3pi/2, -1)
For the point (pi/2, 1), we have:
New x-coordinate: (pi/2) - 2 = (pi/2) - 2 = (pi/2) - 4/2 = (pi/2) - 2 = (pi/2) - pi/2 = 0
Now, we have the new point: (0, 1)
So, the shifted points are (-3pi/2, -1) and (0, 1).