List the sequence of transformations that is necessary to obtain the graph of from
How to do this question algebraically using and method.
Hello, usagi_killer!
I "eyeballed" the two functions . . .
List the sequence of transformations that is necessary to obtain the graph of from
How to do this question algebraically using and method?
Start with: .
Replace with
Add 1: .
. . Hence: .
First, graph
The sequence of transformations is:
(1) Replace with .
. . .This reflects the graph of over the -axis.
(2) Replace with
. . .This contracts the graph to "half its width."
(3) Add 1.
. . .This raises the graph one unit.
The result is the graph of
Thank you!!!
But is there no way of doing it with mapping method?
Eg, if you had the graph y = x^2 and y = (x-1)^2
then let (x',y') be the new x and y
so y' = (x'-1)^2
thus y = y' and x = x'-1
so x' = x+1
thus (x,y) is mapped onto (x+1,y)
so the graph is moved 1 unit to the right.
How can you do the same way here?