Question 163001
For a quadratic equation of this kind (a parabola), the range is determined by the maximum or minimum and comes in the form of
({{{-infinity}}},{{{y[mx]}}})
or
({{{y[mn]}}},{{{infinity}}})
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The min or max occurs at the vertex.
The only thing left to determine is whether f(3)=2 is a min or max value. 
That's determined by the coefficient (a) of the {{{x^2}}} term, 
if a>0, parabola opens up, min value.
if a<0, parabola opens down, max value. 
In this case, a=2, min. value. 
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The range of the parabola is then,
({{{2}}},{{{infinity}}})