Cambridge Additional Mathematics

464 Answers

eiy=¡(x¡2)^2 +6

ii(2,6) iii 2

iv

fiy=¡2(x+^54 )^2 +^498

ii (¡^54 ,^498 ) iii 3

iv

EXERCISE 3D.3

1a(2,¡2) b (¡ 1 ,¡4) c (0,4)

d(0,1) e (¡ 2 ,¡15) f (¡ 2 ,¡5)

g(¡^32 ,¡^112 ) h (^52 ,¡^192 ) i (1,¡^92 )

2a ix=4

ii(4,¡9)

iii x-intercepts 1 , 7 ,

y-intercept 7

iv

v fy:y>¡ 9 g

bix=¡ 3

ii (¡ 3 ,1)

iii x-int.¡ 2 ,¡ 4 ,

y-intercept¡ 8

iv

v fy:y 61 g

cix=3

ii(3,9)

iii x-intercepts 0 , 6 ,

y-intercept 0

iv

v fy:y 69 g

dix=^32

ii (^32 ,^14 )

iii x-intercepts 1 , 2 ,

y-intercept¡ 2

iv

v fy:y 614 g

eix=¡ 1

ii(¡ 1 ,¡26)

iii x-int.¡ 1 §

p

13 ,

y-intercept¡ 24

iv

v fy:y>¡ 26 g

fix=^23

ii (^23 ,^13 )

iii x-intercepts^13 , 1 ,

y-intercept¡ 1

iv

v fy:y 613 g

gix=^54

ii(^54 ,¡^98 )

iii x-intercepts^12 , 2 ,

y-intercept 2

iv

v fy:y>¡^98 g

hix=1

ii (1,¡9)

iii x-intercepts¡^12 ,^52 ,

y-intercept¡ 5

iv

v fy:y>¡ 9 g

iix=4

ii(4,1)

iii x-intercepts 2 , 6 ,

y-intercept¡ 3

v fy:y 61 g

iv

3a iy=(x¡2)(x¡8),

roots are 2 and 8

iiy=(x¡5)^2 ¡ 9 ,

vertex is(5,¡9)

iii

biy=(x+ 1)(x+9),

roots are¡ 1 and¡ 9

ii y=(x+5)^2 ¡ 16 ,

vertex is(¡ 5 ,¡16)

iii

ciy=(x¡5)(x¡9),

roots are 5 and 9

iiy=(x¡7)^2 ¡ 4 ,

vertex is(7,¡4)

iii

4a b y

-5 O 2 x

V,(-EwRfO)^10

y=-x -3x+10 2

y= -x -3x+10|| 2

y

x

2

V(2 6)'

y=-x +4x+2¡¡¡¡¡¡ 2

O

y

x

3

V&'*-TrRk_O_

y=-2x -5x+3¡¡¡¡¡¡ 2

O

y

O 28 x

V,(5 -9)

16

y=x -10x+16 2

y

Ox

9

V,(-5 -16)

-9 -1

y=x +10x+9 2

y

O x

45

V,(7 -4)

5 9

y = x - 14x + 45 2

y

x

V,(4 -9)

17

7 x=4

O

y

x

x=-3¡¡

V,(-3 1)¡

-8

-4 -2

O

y

x

x=3¡¡

V,(3 9)¡

O 6

y

x

12

-2

x=Ew

V,()EwQr

O

y

x

V,(-1 -26)

-24

-1 - ~#13 -1 + ~#13

O

x=-1 y

x

-1

Qe^1

x=We

V,()WeQe

O

y

26 x

V,(4 1)

x=4

-3

O

y

x

2

Qw 2

V(Tr,-Oi)

x=Tr

O

y

O x

• Qw Tw

-5

V,(1 -9)

x=1

y

O x

-12

V,(-2 -16)

-6 2

V,(-2 16)

12

y = x + 4x - 12y = x + 4x - 12|||| 22

y = x + 4x - 12y = x + 4x - 12 22

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