Sequences and series notes
Below are some sequences and series notes. They should help when working with sequences and series. A series of numbers following a set rule is called a sequence. [IMAGE] …is an example of a sequence Each number in a sequence [...]
Sketching curves notes
This document contains sketching curves notes. Below are some of the standard graphs that you should be able to recognise. [IMAGE] [IMAGE] [IMAGE] Transforms [IMAGE] …is a translation of –a in the x-direction. [IMAGE] …is a translation of +a in [...]
Equation of a line
This chapter explores equation of a line. It covers understanding that y – y = m(x = x1) is the equation of a straight line, finding the equation of a line using gradient and one point, finding the equation of [...]
Sketching polynomials
This chapter explores sketching polynomials. It covers general shapes of quadratics, cubics and identifying the maximum number of turning points, roots and intercepts, and linking to factorised forms for example f(x) = (x-a)(x-b)(x-c). Before attempting this chapter you must have [...]
Sketching Quadratic Graphs 1
This chapter explores sketching quadratics. This is the first part. It covers sketching quadratics of the form f(x) = x2 + bx + c, sketching quadratics of the form f(x) = (x + p)2 + q and using completing the [...]
Equation of a line 2
Equation of a line 2 This is the second part for the equation of a line chapter. This covers understanding that a line can be described using an equation, understanding how gradient and intercept affect a line, sketching lines using [...]
Transforming graphs
This chapter explores graphs transformation. It covers effects which occur when the graphs of f(x) is transformed such as y=af(x), y=f(x)+a, y=f(x+a) and y=f(ax). You must have prior knowledge of basic shapes of graphics for such as quadratics, cubic, and [...]
Distance-Time Graphs
This chapter covers distance-time graphs. It explores how to draw and interpret distance-time graphs. Having prior knowledge of gradient of a straight line and speed will be very useful here. What is kinematics Kinematics is the study of an objects [...]
Y=mx+c
In this chapter we’re going to be looking at y=mx+c graphs. We shall explore the effects of m and c on the line in the y=mx+c equation. We shall then explore how to find the equation of a line drawn [...]
Graphs
In this chapter we shall explore some of the common graphs. That you should be familiar with, the chapter will explore 4 common graphs. Straight line Graphs ‘Y=mx+c’ The straight line graphs are the simplest graphs to recognise, they’re usually [...]