Lesson 1: Quadratic Relations

• Some important definitions:

  • Quadratic relation in standard form; parabola

  • Degree of a Quadratic Relation

  • First and second differences

• Opening of a parabola

• Properties of graphs of quadratic relations

  • Axis of symmetry; equation of the axis of symmetry

  • Vertex

  • Maximum and minimum

  • Zeros or roots; optimal value

• Example finding the properties of a quadratic relation

Lesson 2: Factored Form of a Quadratic Relation

• Characteristics of quadratic relations in standard form

• Finding the y- intercepts of quadratic relations in standard form

• Finding the x- intercepts of quadratic relations in standard form

• Finding the axis of symmetry of quadratic relations in standard form

• Finding the equation of the axis of symmetry

• Finding the vertex

• Word problems involving quadratic relations in standard form

• Expanding quadratic relations

• Perfect squares

• Review of difference of squares

• Characteristics of perfect square trinomials

• Identifying perfect square trinomials

Lesson 3: Vertex Form of a Quadratic Relation

• Vertex formula and its components

• Converting standard form to vertex form:

  • 4 steps

• Worked examples explained

• The quadratic formula

  • Its use and when

• The Discriminant

  • 3 scenarios

• Application of the discriminant

Here are a few sample questions for you to practice. The answers are given at the end.