1. Function that passes through ( ,3)
If you look at the normal sin graph:
You'll notice it reaches it peak at ( ,1)
The amplitude is basically the height = 1/2(max-min) so here its 1/2(1-(-1)) = 1.
You want it to reach to your y value 3, so if we look at a function, e.g. y = 3sin(x) the amplitude is always the absolute value of the # in front of the sin. That means it max is going to be 3, while its min is going to be -3.
My x-scale is set to . is half-way between (where it crosses the x-axis) and We need to SHIFT this line to the right to get it to where we need.
So you answer will be
2. You will need to put a (-) in front of sin to flip the graph. y=-2sin(x+ )
Here is the graph, divided into 6ths.