Calculus-Sec-1-4-Solution-Sage


      

1.4      Translation, Stretching and Rotation of Functions

                                                             

                                                                                                                http://youtu.be/vx7GCWY68Zw

 

1-6. Exercises 1-6 show how many units and in what directions the graphs of the given equations are to be shifted. Find an equation for the shifted graph.

 

1. . Up 

 




2. . Left , Down .

 




7-16. Graph the functions in Exercises 7-16.

 

 7. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-7.html 




 8. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-8.html 




 9. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-9.html 




 10. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-10.html  




 11. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-11.html  




 12. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-12.html 




 14. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-14.html 




 15. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-15.html 




 16. 

http://matrix.skku.ac.kr/cal-lab/cal-1-4-16.html   




                        Inauguration of Korean Math. Society as an incorporated foundation (1974)

 

                                            

                                            http://matrix.skku.ac.kr/2009-Album/SKKU-Math-Card-F/SKKU-Math-Card-F.html