How can the y=sin(x) graph be manipulated?

First, lets sketch a simple y=sin(x) graph between 0 and 2Pi radians.There are 4 different places a number could be put into this equation to affect the y=sin(x) graph.y=2sin(x) will stretch the graph to be twice the height. The minimum and maximum peaks will be doubled.y=sin(2x) will squish the graph to fit in 2 of the graphs in the same x length along the horizontal axis. y=sin(x + 2) will shift the graph to the LEFT, 'the negative' direction, by a value of 2.y=sin(x) + 2 will shift the graph UP by +2.
So the simple graph y=sin(x) can have numbers added in to change it in 4 different places.y = __ sin (__ x + __) + __
1st position: stretched in the Y axis.2nd position: squished in the X axis.3rd position: shift opposite way X axis.4th position: shift Y axis.
Stretch up, squish together, shift left, shift up.