aellerbe17 aellerbe17
  • 10-06-2022
  • Mathematics
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How does the graph of g(x)=(x+2)3-6 compare to the parent function of f(x) = x³?

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Paounn
Paounn Paounn
  • 10-06-2022

Answer:

The graph has been moved two units to the left and six units to the bottom.

Step-by-step explanation:

You can rewrite your function as [tex]y+6= (x+2)^2[/tex] which can also be rewritten as [tex]Y= X^3[/tex] who has the same shape as the parent function. The main difference is that the point [tex]O (0;0)[/tex] which acts as a symmetry center has been replaced by [tex]O' (-2;-6)[/tex]; the whole graph has been moved two units to the left and six units to the bottom.

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