Quadratic Theory

Topic: Quadratic Theory, MiA Unit 2 Ch1.2

By the end of this topic you will be able to:
• use the quadratic formula to calculate roots
• know that discriminant of ax² + bx + c = 0 is b² – 4ac
• use discriminant to determine nature of roots of a quadratic
• use discriminant to find condition that the roots of a quadratic are real, equal or unequal
• know condition for tangency; intersection of line and parabola (lines and curves)
• solve quadratic inequalities
• determine a quadratic equation given roots

Homework: Quadratic Theory Set2

Due: Thursday 29 August

Please comment below if you have any questions about the homework exercise or the topic.
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Algebraic Functions and Graphs

New Topic: Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

• know the general features of the graphs of y=ax and y=logax

Factors

Factorisin Trinomial

New Topic: Factors, MiA 3³ Ch5

By the end of this topic you will be able to:

  • by first looking for a common factor
  • by recognising a difference of two squares
  • trinomials (e.g. x² -2x -3 and 2x² – 7x + 3)
  • Algebraic Functions and Graphs

    New Topic: Algebraic Functions and Graphs

    By the end of this topic you will be able to:

    • complete the square for quadratic functions

    • recognise the probable form of a function from its graph

    • draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

    • know the general features of the graphs of y=ax and y=logax