File name changed. There are no changes to the content.IntroductionIn junior high school mathematics, specifically "quadratic ...

The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...

What do you think the graph of \(y = \cos 2x^\circ\) would look like? amplitude = 1, so the distance between the maximum and minimum values is 2 number of waves = 2 (period is 360˚ ÷ 2 = 180˚) graph ...

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...

Build confidence with functions, graphs and mathematical modelling through a comprehensive 70-page printable maths workbook designed for KS4 and KS5 students (Years 10–13, Ages 14–18). This resource ...

25 questions from past papers covering the entire topic. It’s a P4 worksheet so use of calculator is allowed Worksheet B (Summary of all graph shapes included in syllabus) linear , quadratic , x^(1/2) ...