C1 - Quadratic Functions

Harman Rai
Mind Map by Harman Rai, updated more than 1 year ago
Harman Rai
Created by Harman Rai almost 5 years ago
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C1 - Quadratic Functions
1 Plotting the graphs of quadratic functions
1.1 The General form of a quadratic equation is: y = ax*2 + bx + c
1.2 You complete the graph by plotting points found by drawing a table of values
2 Solving quadratic equations by factorisation
2.1 Quadratic equations have two solutions or roots.
2.2
2.3
3 Completing the square
3.1 Completing the square is a form of writing quadratic equations
3.2
3.3
4 Solving quadratic equations by completing the square
4.1
4.2 Sometimes b*2 - 4ac is negative and there are then no real solutions.
5 Solving quadratic equations using the formula
5.1
5.2
6 Sketching graphs of quadratic equations
6.1 You can use the discriminant to establish when a quadratic equation has: equal roots, real roots, no real roots
6.2 Equal roots: b*2 = 4ac
6.3 Real roots: b*2 > 4ac
6.4 No real roots: b*2 < 4ac
6.5
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