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anonymous
 one year ago
Horizontal translation of a quartic function by 30
y=x^3+138x
anonymous
 one year ago
Horizontal translation of a quartic function by 30 y=x^3+138x

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I need to figure how how I can translate this equation to the right by 30

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know this looks pretty rudimentary but trust me I don't know how

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Hey Robert :) In general, to make an horizontal adjustment, we would compensate by doing the opposite to our x. So here is an example with a simple quadratic.\[\large\rm f(x)=(x)^2\]To shift it 30 to the right (positive), ill replace x with x30,\[\large\rm g(x)=(x30)^2\]This new function g(x) is the same shape as f(x) but the whole thing has been shifted to the right 30 units.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0So we have a cubic function and we want to apply the same idea, (not a quartic silly :3 ) \[\large\rm y_1=\color{orangered}{x}^3+138\color{orangered}{x}\]\[\large\rm y_2=\color{orangered}{(x30)}^3+138\color{orangered}{(x30)}\]And then maybe you'll have to expand some brackets out if you want to get it into standard form.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see it now. I have to apply the same shift to all the variables.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks so much @zepdrix Are you taking university math?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Yesss :) Learning lots of fun stuff!!
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