Category: Graphs
Square root graph
This article explores the square root graph. The general function of a square root function is shown below; Below is the general graph for a square root function;
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. …is an example of 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. Transforms …is a translation of –a in the x-direction. …is a translation of +a...
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...
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...
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...
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...
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...