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DestinyKiara99
DestinyKiara99 DestinyKiara99
  • 14-06-2016
  • Mathematics
Answered

Find the range of the function.

f(x) = (x - 2)2 + 2


AAll real numbers
By ≥ 0
Cy > 2
Dy ≥ 2

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 18-06-2016

The vertex form of a quadratic function is given by
\(f(x)=a (x-h)^{2} +k\), 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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