DestinyKiara99
DestinyKiara99 DestinyKiara99
  • 15-06-2016
  • Mathematics
contestada

Find the range of the function.
f(x) = (x - 2)2 + 2


a. All real numbers
b. y ≥ 0
c. y > 2
d. y ≥ 2

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 18-06-2016
The vertex form of a quadratic function is given by
[tex]f(x)=a (x-h)^{2} +k[/tex], where (h, k) is the vertex of the equation.
In the given function, (h, k) = (2, 2), also a = 1 which is positive, this means that the parabola is facing up, hence the range is given by y ≥ k.
Therefore, range is y ≥ 2.
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