Quadratics

Quadratics

1. Drawing parabolas

   • Line of symmetry (through TP)
   • Translation
     • y=x^2+a (move up)
     • y=(x+a) move left
     • y=ax^2 (stretch)
   • Completing the square
     • Turning point
       • Halfway between roots
   • Find roots

2. Solving

   • Discriminant b^2-4ac
     • Identify how many roots
       • b^2-4ac > 0 2 roots
       • b^2-4ac = 0 1 root
       • b^2-4ac < 0 no roots
   • Find the roots
     • Factorise
       • Make equal to 0
       • Complete the square