Algebra Pre-Algebra and Basic Algebra Math Forum

 August 13th, 2017, 05:39 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 $\displaystyle y = 2(x-3)^2 -8$. 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, 07:08 AM #2 Senior Member   Joined: Oct 2009 Posts: 428 Thanks: 144 You were clearly taught wrong then. Thanks from Antoniomathgini
 August 13th, 2017, 07:29 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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