How changing a single constant reshapes a reciprocal graph
In short: Master the mechanics of the equation y = A/x. This video demonstrates how to plot curves across different quadrants, use tables of values for verification, and identify why these graphs never touch the y-axis.
The tutorial explores the behavior of reciprocal functions and how the value of 'A' dictates the graph's shape. It examines the specific visual shifts that occur when A is greater than 1, when A falls between 0 and 1, and the impact of a negative value.
Beyond plotting, the video covers the concept of asymptotes, explaining the mathematical reason the curve cannot cross the y-axis. The content is applicable to GCSE Foundation, GCSE Higher, and introductory A-level mathematics.
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Sources
- Summary by Intellect · source: GCSE Maths - What are Reciprocal Graphs? (2026/27 exams)
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