transformation of base functon

[yfelix45]

Hello,

I would like to know how would I explain the following question:

Describe the transformations you would have to apply to the base function y = sin x to graph the following:

y= sin(x - 60)

y = 2sinx

y = sin2x

y = -3sinx +1


I am confused by the explainations that were given the chapter and I don't know how to start to describe the transformations.

Your help is always appreciated

Thanks
yfelix45

 

[Freeman]

y= sin(x - 60)
Shift the graph 'y=sinx' to left by 60.

y = 2sinx
Dilate the graph 'y=sinx' vertically by 2.

y = sin2x
Dilate the graph 'y=sinx' horizontally by 2.

y = -3sinx +1
Dilate the graph 'y=sinx' vertically by -3 then shift upwards by 1.

 

[yfelix45]

Thanks

hello freeman,

thanks for your help in explaining the question

yfelix45