Q: For each of the following, find a sequence of transformations that takes \(\displaystyle y\, =\, x^2\) to \(\displaystyle y\, =\, (2x\, +\, 1)^2\, \, 2\)
By what I understand about transformations, there's 4 main ones:
We move 2 from the right side to the left side
Making it y' + 2 = (2x' + 1)^{2}
This makes it Y = Y' + 2 & X = 2x' + 1
Now, Solving for Y' and x'
Y' = Y  2
X' = (X  1)/2
Now, to put it in words  A transformation is a dilation of 1 from Y axis, then a translation of 1/2 unit in the negative direction of the xaxis and 2 units in the negative direction of the Yaxis.
Is this correct guys? My answers say it's a dilation of a factor of 1/2 from the y axis... I don't get why..
By what I understand about transformations, there's 4 main ones:
 Translation
 Dilation
 Reflection
 Rotation
We move 2 from the right side to the left side
Making it y' + 2 = (2x' + 1)^{2}
This makes it Y = Y' + 2 & X = 2x' + 1
Now, Solving for Y' and x'
Y' = Y  2
X' = (X  1)/2
Now, to put it in words  A transformation is a dilation of 1 from Y axis, then a translation of 1/2 unit in the negative direction of the xaxis and 2 units in the negative direction of the Yaxis.
Is this correct guys? My answers say it's a dilation of a factor of 1/2 from the y axis... I don't get why..
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