anonymous
  • anonymous
Horizontal translation of a quartic function by 30 y=-x^3+138x
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
I need to figure how how I can translate this equation to the right by 30
anonymous
  • anonymous
I know this looks pretty rudimentary but trust me I don't know how
zepdrix
  • zepdrix
Hey 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 x-30,\[\large\rm g(x)=(x-30)^2\]This new function g(x) is the same shape as f(x) but the whole thing has been shifted to the right 30 units.

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zepdrix
  • zepdrix
So we have a cubic function and we want to apply the same idea, (not a quartic silly :3 ) \[\large\rm y_1=-\color{orangered}{x}^3+138\color{orangered}{x}\]\[\large\rm y_2=-\color{orangered}{(x-30)}^3+138\color{orangered}{(x-30)}\]And then maybe you'll have to expand some brackets out if you want to get it into standard form.
anonymous
  • anonymous
Oh I see it now. I have to apply the same shift to all the variables.
anonymous
  • anonymous
Thanks so much @zepdrix Are you taking university math?
zepdrix
  • zepdrix
Yesss :) Learning lots of fun stuff!!

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