Additional info on transformation

     Hello class, This is nick who is about to show you how equations on trasnformation works and explain about this stuff. I hope i don't give you a cancer with my terrible grammar(also i don't find any multiply and devide signs on my lap top. i also have no idea how to put fractions in with this.) and let's don't waste more time on reading this and get in to it.


How Trasformation Equations work.



      Hopefully, you should see what i scanned from the booklets on how equations work.  As you see above, a and d affects the y-values and the effect on the graph is said to be the same on like b and c that affects oppsite. But explaining in words wouldn't help you so much with this terrible grammar -_- so i'll just explain this by a made up question.

 

     If f(x)=(-2,4), what ordered pair does the graph -2f(4(x+2))+4 produce?

 

     Well first, we need to know what the steps are, which is listed on the next page of booklet. 



The steps that you guys don't really need to know if you know the idea in my opinion, but never bad to know.

      using this example of steps above, we should multiply the y-value by -2 which makes it......



 -2*4=-8

 

     and now we need to add 4 and it makes......

-8+4=-4

 

     Now we know that our new y value is -4. Now, what about x-value?

    

     Unlike the y-value, all the thing you see is a TRAP! you should devide by 4 instead of multiplying it! which makes the x-value.......

 

-2/4=0.5

 

     and now we subtract this by 2 instead of adding it(btw you only devide or multiply x-value, not the one next to it.), which make it......

 

0.5-2=-1.5

 

     now there is our x-value, which makes our answer (-1.5,-4).

 

     See how it works??? See how Insides(a and d) affects the y-value and how outsides(b and d) affects the x-value?? Well now, we are going to have graphs to help you understand better in this one.



     The graph of a function f(x) is given below. On the same set of axes draw a graph of the function y=2f(x-1)

    

 

    The coordinates of f(x) are (-5,0),(-4,3),(-2,-3),(-1,2) and (2,0), now we should multiply the y-value by 2 and add 1 to our x-value. which makes these new coordinates......

 

(-5,0) to (-4,0)

(-4,3) to (-3,6)

(-2,-3) to (-1,-6)

(-1,2) to (0,4)

(2,0) to (3,0)

 

now if we draw this on the graph.......

 

 



     A new(ugly) line comes out.

 

     I think that should be enough explaining or giving enough cancer to you guys, I hope you get the idea well by watching this and now it's time for me to go.

 

     (P.S. But before i go i want to pick who's gonna be next and that will be number 1 or 10 if 1 is not availiable.)