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Which statements describe the function f(x)=2(x-4)^4

Which statements describe the function f(x)=2(x-4)^4-example-1

1 Answer

3 votes

Answer:

B and D

Explanation:

A is not true because the function is even, so there would be symmetry about the y-axis (in this case it's actually the line x=4 because of the translation).

B is true for the reasons described previously

C is not true because only one zero works in this particular function, which is x=4

D is true because there is symmetry about the line x=4 which is 4 units to the right of the parent function y=x⁴

E is not true because it contradicts D

F is not true for the same reason that C is also not true.

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