Quadratic functions: vertex form
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identifying the vertex
the vertex form of a quadratic function is f(x) = a(x-h) +k.
what is the vertex of f(x)=6

(5, -9).

Step-by-step explanation:

The vertex  if (h, k).

So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).

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: