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# Shifting Parabolas

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A quick question...

When shifting parabolas, why do we represent "shifting to the RIGHT by some number" as "x minus that number"? Shouldn't it be represented as "x PLUS that number"?

Jun 24, 2020

#1
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when you subtract from the object 'x'   you will get the value that is usually at the smaller 'x'       so if you parabola has a value     of   10   at x= 4

when you shift it  (by subtracting 8)    the value at  x = 12      will be the value that WAS at x = 4         so the parabola gets shifted to the right

I hope I explained it so you can understand......

Jun 24, 2020
#2
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However, when subtracting 8 from x=4, wouldn't that get you x=-4? Sorry if I sound clueless...

Jun 24, 2020
#3
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when you shift it  (by subtracting 8)    the value at  x = 12  .........becomes the value that WAS at x = 4

12-8 = 4

ElectricPavlov  Jun 24, 2020
edited by ElectricPavlov  Jun 24, 2020
#4
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Ohh, I get it!

Thanks a lot, EP! Also the graph helped a lot!

CalTheGreat  Jun 24, 2020
edited by CalTheGreat  Jun 24, 2020
#5
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Here is a graph to look at to help make things clearer:

https://www.desmos.com/calculator/c5w2klg0xw

ElectricPavlov  Jun 24, 2020