By CGP Books
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This publication is filled with transparent revision notes and examination perform questions for AS Maths scholars. It covers the C1, C2, S1, M1 and D1 modules for the Edexcel examination, and it’s effortless to learn and revise from - everything’s defined easily and punctiliously. each few pages there are fast warm-up questions, a few exam-style questions and on the finish of every module there are perform examination papers (answers on the back). There’s additionally a sprinkling of jokes to lighten the temper. It’s precisely what you must organize in your assessments!
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Extra info for AS-Level Mathematics Edexcel: Complete Revision & Practice
What is the equation of m? 3) The coordinates of points R and S are (1, 9) and (10, 3) respectively. Find the equation of the line perpendicular to RS, passing through the point (1, 9). 4) It’s lovely, lovely curve-sketching time — so draw rough sketches of the following curves: a) y = –2x4, b) y = 72 , c) y = –5x3, d) y =- 25 . x x 5) Admit it — you love curve-sketching. We all do — and like me, you probably can’t get enough of it. So more power to your elbow, and sketch these cubic graphs: a) y = (x – 4)3, b) y = (3 – x)(x + 2)2, c) y = (1 – x)(x2 – 6x + 8), d) y = (x – 1)(x – 2)(x – 3).
It may seem like a lot to remember, but graphs can really help you get your head round a question — a quick sketch can throw a helluva lot of light on a problem that’s got you completely stumped. So being able to draw these graphs won’t just help with an actual graph-sketching question — it could help with loads of others too. Got to be worth learning. C1 Section 4 — Coordinate Geometry and Graphs 32 Graph Main Transformations Heading Suppose you start with any old function f(x). Then you can transform (change) it in three ways — by translating it, stretching or reflecting it.
Anyway, I’ll leave you alone now to savour these practice questions. Don’t skip the warm-up — you don’t want to hurt yourself... Warm-up Questions 1) Find the equations of the straight lines that pass through the points b) `0, - 31j and `5, 32j . a) (2, –1) and (–4, –19), Write each of them in the forms i) y – y1 = m(x – x1), ii) y = mx + c, iii) ax + by + c = 0, where a, b and c are integers. 2) a) The line l has equation y = 32 x - 32 . Find the equation of the lovely, cuddly line parallel to l, passing through the point with coordinates (4, 2).