Conclusion

Conclusion of Quadratic Functions

Review the forms of the quadratic function you have investigated in Unit 2.

Form	Equation format	Advantages when graphing
Vertex form	\(f\left( x \right) = a\left( {x - p} \right)^2 + q\), where \(a \ne 0\)	The vertex, direction of opening, axis of symmetry, minimum/maximum value, and range are easily identified.
Standard form	\(f\left( x \right) = ax^2 + bx + c\), where \(a \ne 0\)	The y-intercept and direction of opening are easily identified. If factorable, \(x\)-intercepts can be identified.

For further information about the Quadratic Function in Standard Form see pp. 163 to 173 of Pre-Calculus 11.

In Lessons 2.1 and 2.3, you worked with quadratic functions in different formats, each with their advantages. From here, analyzing quadratic functions leads to solving quadratic equations in Lesson 2.4. All of the tools you have reviewed or learned over the past three lessons will be relevant and helpful in the final lesson of the unit.