A-Level Maths Edexcel (9MA0)

Work with quadratic functions and their graphs. The notation $f(x)$ may be used.

The discriminant of a quadratic function, including the conditions for real and repeated roots. Need to know and to use:

• $b^2 - 4ac > 0$
• $b^2 - 4ac = 0$
• $b^2 - 4ac < 0$

Completing the square.

$ax^{2}+bx+c=a\Big(x+\dfrac{b}{2a}\Big)^{2}-\Big(\dfrac{b^{2}}{4a}\Big)+c$

Solution of quadratic equations by factorisation, use of the formula, use of a calculator or completing the square.

Solution of quadratic equations including solving quadratic equations in a function of the unknown. These functions could include powers of $x$, trigonometric functions of $x$, exponential and logarithmic functions of $x$.