C1 - Quadratic Functions

C1 - Quadratic Functions

1. Plotting the graphs of quadratic functions

   • The General form of a quadratic equation is: y = ax*2 + bx + c
   • You complete the graph by plotting points found by drawing a table of values

2. Solving quadratic equations by factorisation

   • Quadratic equations have two solutions or roots.

3. Completing the square

   • Completing the square is a form of writing quadratic equations

4. Solving quadratic equations by completing the square

   • Sometimes b*2 - 4ac is negative and there are then no real solutions.

5. Solving quadratic equations using the formula

6. Sketching graphs of quadratic equations

   • You can use the discriminant to establish when a quadratic equation has: equal roots, real roots, no real roots
   • Equal roots: b*2 = 4ac
   • Real roots: b*2 > 4ac
   • No real roots: b*2 < 4ac

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