Question 1174661: Explain the transformation rules for graphing the given function
y= -2 cuberoot(x-2) +1
Found 4 solutions by Boreal, ewatrrr, ikleyn, MathTherapy:
Answer by Boreal(15235)   (Show Source):
Answer by ewatrrr(24785)  (Show Source):
Answer by ikleyn(52788)  (Show Source):
You can put this solution on YOUR website! .
Explain the transformation rules for graphing the given function
y= -2 cuberoot(x-2) +1
~~~~~~~~~~~~~~
Looking into the posts of other tutors (@Boreal, @MathLover1, @ewatrrr) may confuse you,
because their plots are incorrect and give you incorrect vision of the situation.
Therefore, I came to bring you the correct solution, plots, vision and explanations.
The function y=  is the "child" function of the "parent" function y=  .
The parent function is defined over the ENTIRE real domain (whole number line), see the plot in Figure 1.
Figure 1. y =
The plot has two wings, the green line (at x >=0) and the blue line (at x < 0).
They both have EQUAL RIGHTS of existence and are antisymmetric relatively the origin of the coordinate system.
The "child" function y= is ALSO defined over the ENTIRE number line.
Relative to the parent function plot, it is shifted two units right, stretched two times along the y-axis
and reflected relative the x-axis; then shifter 1 unit up.
See the Figure 2.
Figure 2. y = 
Answer by MathTherapy(10552)  (Show Source):
|
|
|
