To determine the maximum and minimum point, students should derive the given equation into the general formula [f(x) = a(x+p)2 +q]. When "a" is a positive value (aka "a >0"), the obtained graph "smile" such as "∪", thus is a minimum point. Whereas, when "a" is a negative value (aka "a<0"), the obtained graph will be a sad face such as "∩", thus students will get a maximum point.
The video below shows 2 Past Year Questions on Quadratic Functions. Students will have a clearer understanding in applying the general formula.
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