SOLUTION: Determine the range of f(x) = 3(x – 2)^2 + 3. Is it all real numbers?

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Question 1103838: Determine the range of f(x) = 3(x – 2)^2 + 3.
Is it all real numbers?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, parabolas always have a limited range.
The domain is all real numbers.
However the parabola is in vertex form which simplifies the solution.
The quadratic coefficient, 3, is positive so the value at the vertex is the minimum.
So the range would be [3,infinity)