A LEVEL MATHEMATICS A LEVEL MATHEMATICS, Exams of Mathematics

A LEVEL MATHEMATICS A LEVEL MATHEMATICS

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2023/2024

Available from 03/13/2024

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A LEVEL MATHEMATICS
Quadratics -
- Factorise: Product, sum and factor.
-Completing squares :X(x-ax)^2+b
- quadratic formula
Quadratic Inequalities -
an inequality of the form y>ax^2+bx+c with a not equal to zero
Discriminant of a quadratic equation -
The discriminant of a quadratic equation of the form
ax2 + bx+ c = 0, a ≠ 0, is the number b2 - 4ac
Simultaneous equations -
equations involving two or more unknowns that are to have the same values in each equation.
Domain and Range -
The set of x values in a relation is the domain. The set of y values in a relation is the range.
Functions -
A prewritten formula that provides a shortcut to common calculations
composite function -
a combination of two functions such that the output from the first function becomes the input for
the second function
inverse function -
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A LEVEL MATHEMATICS

Quadratics -

  • Factorise: Product, sum and factor. -Completing squares :X(x-ax)^2+b
  • quadratic formula Quadratic Inequalities - an inequality of the form y>ax^2+bx+c with a not equal to zero Discriminant of a quadratic equation - The discriminant of a quadratic equation of the form ax2 + bx+ c = 0, a ≠ 0, is the number b2 - 4ac Simultaneous equations - equations involving two or more unknowns that are to have the same values in each equation. Domain and Range - The set of x values in a relation is the domain. The set of y values in a relation is the range. Functions - A prewritten formula that provides a shortcut to common calculations composite function - a combination of two functions such that the output from the first function becomes the input for the second function inverse function -

two functions f and g are inverse functions if and only if both of their compositions are the identity function Transformation: translation - -f(x+a)is a horizontal translation of -a -f(x) +a is a vertical translation of a Transformation: Reflection - -f(x) is a reflection in the x-axis _f(-x)is a reflection in the y-axis Transformation: stretching - af(x) is a stretch with factor a in the Y direction f(ax) is a stretch with factor 1/a in the X direction coordinate geometry - The study of geometry on a coordinate grid Midpoint of a line segment - A point that divides a segment into two congruent segments Gradient of a line - change in y/change in x length of a line segment - the distance between the endpoints Parallel gradient - m1=m