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August 13th, 2017, 06:39 AM  #1 
Member Joined: Apr 2017 From: Canada Posts: 32 Thanks: 2  Quadratic Transformations
I was taught that the only order one had to keep in mind when doing quadratic transformations was to do the vertical transformations (vertical translations, reflections on the $\displaystyle x$ axis, stretching and compressing) separate from horizontal transformations (horizontal translations). The question asks to transform the point (4,16) from the graph $\displaystyle y = x^2$ to the graph $\displaystyle y = 2(x3)^2 8$. The Transformations: 1. Horizontal translation 3 units to the right. 2. Stretch by a factor of 2. 3. Vertical translation 8 units down. Changes to the point as it transforms: (4,16) 1. (1,16) 2. (1,32) 3. (1,24) However, if I do all of the steps in the opposite order I get a different final point: (4,16) 3. (4,8 ) 2. (4,16) 1. (1,16) I have done all of the horizontal transformations (step 1.) separate from the vertical ones(steps 2. and 3.), only to get a different answer. What am I doing wrong guys? 
August 13th, 2017, 08:08 AM  #2 
Senior Member Joined: Oct 2009 Posts: 232 Thanks: 84 
You were clearly taught wrong then.

August 13th, 2017, 08:29 AM  #3 
Member Joined: Apr 2017 From: Canada Posts: 32 Thanks: 2 
Yes, I was. I should have done the effects of "a" before the effects of "k".


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quadratic, transformations 
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