Zusammenfassung der Ressource
C1 - Quadratic
Functions
- 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
- Solving quadratic equations by factorisation
- Quadratic equations have two
solutions or roots.
- Completing the square
- Completing the square is a
form of writing quadratic
equations
- Solving quadratic equations by completing the square
- Sometimes b*2 - 4ac is negative and there are then no real solutions.
- Solving quadratic equations using the formula
- 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