# How do you graph y=sin2x+1?

Mar 11, 2018

graph{sin(2x)+1 [-10, 10, -5, 5]}

#### Explanation:

The amplitude of $y = \sin \left(2 x\right) + 1$ is 1 because there is no other co-efficient present in front of the function.

We know that the original graph is $y = \sin \left(x\right)$

graph{ y= sin(x) [-10, 10, -5, 5]}

We are dilating the graph by a factor of $\frac{1}{2}$ from the y axis
Therefore every x value is halved and the graph is

graph{sin(2x) [-10, 10, -5, 5]}

There is a translation of 1 unit to the positive direction of the y -axis, therefore we shift the entire graph up 1 unit.

graph{sin(2x)+1 [-10, 10, -5, 5]}

And there you have it, the graph of $y = \sin \left(2 x\right) + 1$