+80 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
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+128448 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
+128448 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
+128448 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
