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avatar+79 

Hello! I've already posted a forum asking for help regarding these functions but even though my goal is the graph them which  I can use desmos for, but my teacher wants me to show my work for each function and this is what I need assistance with. Please help me learn how to show my work, thank you

 

1. 

 

 

2. 

 

 

3. 

 Apr 25, 2021
 #1
avatar+121048 
+2

The  easiest  way  to  learn this  is  to  know what  the "parent"  function  looks  like  and  then what  the  transform for each function is....this  is  easier  than "plotting points"

 

1)  Look  at the  graph of   y  =  ∛ x  here:  https://www.desmos.com/calculator/e9c8zn9cya

 

This  is  the "parent" graph

 

The  function    y =  ∛ ( x - 2)     just  shifts  the  graph to the RIGHT  by 2  units

 

 

cool cool cool

 Apr 25, 2021
 #2
avatar+121048 
+2

2.  The parent graph  is    y  =  l  x  l 

 

Here it is  :  https://www.desmos.com/calculator/atandsuqzf

 

The  function   y  =  l  x + 1  l    +  2

 

The  " +1"   shifts  the  graph to the LEFT  by 1  unit

 

And finally...the "2"  shifts  this  up  by  2  units

 

It's  helpful to see  that  the  "vertex"  of  the  first graph is at (0,0)

 

And the  "vertex " of  the second graph   is at  (-1, 2)

 

See both  graphs  here :  https://www.desmos.com/calculator/htgibomhib

 

cool cool cool

 Apr 25, 2021
edited by CPhill  Apr 25, 2021
 #4
avatar+79 
+1

This is great, thank you CPhill!

Corduroy  Apr 25, 2021
 #6
avatar+121048 
0

OK.....hope it helps some......

 

 

cool cool cool

CPhill  Apr 25, 2021
 #3
avatar+121048 
+2

3)  The most difficult one

 

The parent graph is   y  =x^2

 

The  "-2"    shifts the parent  to the RIGHT  by 2  units

The "4"  shifts this  up  by 4 units

And finally....the " - "  out front  turns the  graph over

 

Here is the parent  and  the transformed graph : https://www.desmos.com/calculator/s4hc2ni1sk

 

Finally...your  teacher isn't expecting  "perfect"  points on the  graph....he/she  is more interested in your knowing how each  transformation looks...just  a general sketch on your part will likely be good enough

 

 

cool cool cool

 Apr 25, 2021
edited by CPhill  Apr 25, 2021
 #5
avatar+79 
+1

I see, no wonder why I've been confused with these questions for a while, thanks again for your explanation, it really helps me!

Corduroy  Apr 25, 2021
 #7
avatar+121048 
+1

NP   !!!!

 

 

cool cool cool

CPhill  Apr 25, 2021

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