# How do you graph #y=2sin(2x+pi/2)+3#?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

First begin by sketching the parent sin function, y=sinx. This will help a lot. Make sure to sketch it lightly.

#### Explanation:

Now you can take a look at the function. The first transformation is the 2 before sin. This means your amplitude will be doubled. Sketch the graph of y=2sinx (also lightly).

The next transformation is the 2 before x. While graphing trig functions, if there is a coefficient of x and something is being added to x within the parentheses, then you need to take the coefficient out of the added number as well, in order to get the accurate horizontal shift.

For example: here, we would want to write it as y=2sin(2(x+

The 2 before the x modifies the period of the function. Divide

The next step is to use the

The last step is to shift the function vertically up 3 units. This is your final function, so you don't have to sketch lightly.

Describe your changes (optional) 200