Cambridge Additional Mathematics

y x (-2 4), (-2 -3), O y x (-2 1),¡ 3 O y x () 32 ,¡ () 31 ,¡ -1 1 O PRINTABLE GRAPHS y x 2 5 O y = f(x) y x 2 O y = f(x) y x 2 ...

PRINTABLE y DIAGRAMS x -2 2 O y x 3 O y -4 O 4 x y x O 1 y x -2 O 3 62 Functions (Chapter 2) 2 Given f(x)=x^2 +3, find: a f(¡3) ...

Quadratics 3 Contents: A Quadratic equations B Quadratic inequalities C The discriminant of a quadratic D Quadratic functions E ...

64 Quadratics (Chapter 3) Opening problem #endboxedheading Abiola and Badrani are standing 40 metres apart, throwing a ball betw ...

Quadratics (Chapter3) 65 QUADRATICS Aquadratic equationis an equation of the form ax^2 +bx+c=0 wherea,b, andcare constants, a 6 ...

66 Quadratics (Chapter 3) SOLVING BY FACTORISATION Step 1: If necessary, rearrange the equation so one side is zero. Step 2: Ful ...

RHS is short for Right Hand Side. Quadratics (Chapter 3) 67 I Consider (2x¡7)^2 =(x+1)^2. Correct solution (2x¡7)^2 =(x+1)^2 ) ( ...

68 Quadratics (Chapter 3) An alternative way to solve equations like x^2 +4x+1=0 is by ‘completing the square’. Equations of the ...

Quadratics (Chapter 3) 69 EXERCISE 3A.2 1 Solve exactly forx: a (x+5)^2 =2 b (x+6)^2 =¡ 11 c (x¡4)^2 =8 d (x¡8)^2 =7 e 2(x+3)^2 ...

70 Quadratics (Chapter 3) While the Indians had knowledge of the quadratic formula even at this early stage, it took somewhat lo ...

Quadratics (Chapter 3) 71 For example, consider the Acme Leather Jacket Co. equation from page 65. We need to solve: 12 : 5 x^2 ...

72 Quadratics (Chapter 3) Anequationis a mathematical statement that two expressions are equal. Sometimes we have a statement th ...

Quadratics (Chapter 3) 73 In the quadratic formula, the quantity b^2 ¡ 4 ac under the square root sign is called thediscriminant ...

-9 -1 +- + k 74 Quadratics (Chapter 3) Example 11 Self Tutor Consider the equation kx^2 +(k+3)x=1. Find the discriminant¢and dra ...

y -2 2 x 2 4 6 8 y=x 2 10 O Quadratics (Chapter 3) 75 4 For each of the following quadratic equations, find the discriminant¢and ...

GRAPHING PACKAGE x y vertex axis of symmetry y-intercept parabola minimum x-intercept x-intercept O 76 Quadratics (Chapter 3) TE ...

GRAPHING PACKAGE Quadratics (Chapter 3) 77 Discovery 2 Graphing y=a(x¡h)^2 +k This Discovery is also best done using technology. ...

The axis of symmetry is midway between the -intercepts.x 78 Quadratics (Chapter 3) You should have found thata, the coefficient ...

y x y = |(x + 2)(x - 3)| y = (x + 2)(x - 3) -2 3 6 -6 O y x -4 O 1 4 y x 8 O^14 y x 4 -1 4 O y x -4 -1 4 O y x -8 -4 O 1 y x -12 ...

Example 14 Self Tutor Use the vertex, axis of symmetry, andy-intercept to graph y=¡2(x+1)^2 +4. The vertex is(¡ 1 ,4). The axis ...