Objectives

To find the coordinates of the curve using graph

0

A

B C

Y

X-X

-Y

Q2) Find the co ordinates A,B,C

Factorise :

( -3) ( -2)When y=0 ,( -3) ( -2) =0 =3 , =2

When =0, y = 0-0+6= 6

652 xxy

x xx x

x x

x

Equation of a straight line is y= mx+c

m is the gradient , m=

m=

c is the y-intercept = 6

Equation is y= -2x+6

12

12

xx

yy

23

6

03

60

0AB

Y

X-X

-Y

Explanation: Factorise

( -3) ( +2)When y=0 , ( -3) ( +2) =0 =0 , =3 , =-2

(0,0)(3,0)(-2,0)When =0, y = 0(0-3)(0+2)= 0A=(-2,0); B=(3,0)

xxxy 623

x xx x

x x

x

xx

Equation of the given graph is Find the values of p and q -----1 =-5 =4

+5=0 -4=0

( +5)( -4)=0

------2Comparing the coefficients in 1 &2p=-1,q=-20

qxpxxy 23

(-5,0) (4,0)

x x

xx

xx

0202 xx

)( 2

23

qpxxx

qxpxxy

Your turn…..Find the coordinates A,B,C,D of the curve

)2)(1)(6( xxxy

A

B

C D

0AB

Y

X-X

-Y

Try one more question: The graph of isGiven below Find A & B

)3)(4( xxxy