How do you graph y=−2+sin(2x+π)?

1 Answer
Douglas K.
Dec 2, 2016

Please see the explanation.

Explanation:

The -2 shifts the graph down 2 units, therefore, the graph will vary from -1 to -3.

The 2 multiplying the x makes the graph repeat 2 twice as fast as the normal sine function. Another way of saying this is, it changes the period from 2π to π.

The 2 multiplier, also, changes the phase shift; you divide the π that is add by the 2 multiplier and change the sign to find that the phase shift is −π2. This means that you will find the zero crossing that normally starts a sine curve to the left of the y axis by π2.

Here is a graph of the function.
enter image source here

Related questions
See all questions in Translating Sine and Cosine Functions
Impact of this question
3429 views around the world
You can reuse this answer
Creative Commons License