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makkiz [27]
3 years ago
12

Which function results after applying the sequence of transformations to

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

The resulting function after the sequence of transformations is  f(x)=3(x+2)^5+1

Step-by-step explanation:

Given a function f(x)

  • the function a*f(x) will be a vertical stretch of factor a,  given a > 1
  • the function f(x) + b will be the translated function vertically up b units
  • the function f(x+c) will be horizontally translated function of the original by c units left

Remembering these points, we can apply the rules to x^5.

  • Strech vertically by 3 would be 3x^5
  • translate up 1 unit would be 3x^{5}+1
  • translate left 2 units would make it 3(x+2)^5+1

Hence the new function would be  3(x+2)^5+1

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