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How does the graph of g(x) = -(x - 2)4 compare to the parent function of f(x) = x^4?

1 Answer

4 votes

Answer:

flipped across the x-axis and translated to the left 2 units

Explanation:

I attached a pic to show u !! Blue is the parent function and red is the other equation so it's easy to see how they compare to one another.

how to read a function different from the parent

  • that negative in front of the (x-2)^4 gets distributed and the equatuin will then look like (-x+2)^4
  • that negative in the front means to flip the proabla on the axis !!
  • and the +/- will tell u how it will be translated by however many units
  • keep in mind u go the opposite of this sign inside the parenthesis. so for example if it's - 2 ur not going to go to the left 2 units you're going to go to the RIGHT 2 units and vice versa!!
  • another thing remember that if it's inside the parenthesis it's the x-axis !! if outside then it's y-axis
  • example: (3+4)^4+3
  • look inside the parenthesis, that tells me that it's not going to flip on the x axis cause and im going to translate to the left 4 units ! cause remember u go the opposite.
  • and that +3 will tell me to go UP 3 units and that tells me how to translate on the y axis!!
  • I gave u extra info im very sorry i just wanna help as much as possible and I hope this helps !!

User Johnny Baloney
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