The graph f(x)=x2 was transformed to create the graph g(x)=−(x2)2. Which statement describes this transformation?

a reflection over the y-axis and a vertical stretch

a reflection over the x-axis and a horizontal stretch

a reflection over the x-axis and a vertical stretch

a reflection over the y-axis and a horizontal stretch

the correct answer to your question is a. 4^4

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since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: