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 ...
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Graphing cosine functions with reflections
Description: 👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete ...
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 ...
What is a function actually doing?”Have you ever heard that question from your child?They know the quadratic function formula ...
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 ...
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) ...
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