Скачать или смотреть The Modulus Function (Q6 A2 P1 Edexcel 2025)

In this video, Lee Guffick walks through Question 6 from Edexcel A Level Maths Paper 1 (2025), exploring the modulus function in detail — a topic that’s become increasingly popular with Edexcel examiners in recent years.

You’ll learn how to:

Identify the vertex of a modulus graph by comparing it to a quadratic in completed-square form.

Solve equations involving the modulus sign by considering both the positive and negative cases.

Analyse graph intersections and determine when a line intersects a modulus curve at one or two points.

Use algebraic reasoning to find the range of values of k for which two distinct intersections occur — a skill that frequently separates A/A* candidates from the rest.

Lee also explains why examiners love this question type and how to reason clearly when sketching, interpreting gradients, and testing the conditions for multiple intersections.

⏱️ TIMESTAMPS:
00:00 – Introduction
00:22 – Finding the vertex of y = 3|x − 2| + 5
00:54 – Solving equations with a modulus
02:01 – Understanding graphical intersections
03:17 – Finding the range of k for two distinct intersections
05:45 – Final summary and key exam advice

✏️ TOPICS COVERED:

Modulus functions and transformations

Graphical intersections and gradients

Algebraic reasoning using inequalities

Common Edexcel examiner favourites

How to structure reasoning for full marks

💯 EXAM TIPS:

Always split modulus equations into two cases before solving.

When finding the range of k, identify where the line becomes tangent to the vertex — that’s your boundary value.

Edexcel frequently tests this concept, so mastering it can earn you easy marks other students miss.

📚 ABOUT GUFFICK TUITION:
Lee Guffick is a former Head of Mathematics and A-Level Examiner who helps ambitious students achieve A*/A grades and gain entry to top universities including Oxford, Cambridge, and the Ivy League. His videos and group lessons are designed to strengthen mathematical reasoning and exam technique.

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