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"?

Thanks in advance!

CalTheGreat Jun 24, 2020

#1**+2 **

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......

ElectricPavlov Jun 24, 2020

#2**0 **

Your answer did make some things clearer :D Thanks!

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

CalTheGreat Jun 24, 2020

#3**+1 **

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

#5**0 **

Here is a graph to look at to help make things clearer:

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

ElectricPavlov
Jun 24, 2020