to draw the graph of a quadratic polynomial and observe

(i) the shape of the curve when the co-efficient ofx square is positive and (ii) same when its negative

Answer:

1 ) Draw a quadratic equation when co-efficient of x² is positive 
Lets our quadratic equation is y = x²    ( Here co-efficient of x² is +1  )

Step 1 - find several points for equation y = x²  As:

x	y = x2
-3	9
-2	4
-1	1
0	0
2	4
3	9

Step 2 - draw these points on graph and join them by smooth curving line As:


2 ) Draw a quadratic equation when co-efficient of x² is negative.

Let our quardetic equation is As : y = -x²  ( Here co-efficient of x² is -1 )

Step 1 - find several points for equation y = - x² As:

x	y = -x2
-3	- 9
-2	- 4
- 1	- 1
0	0
1	1
2	4
3	9
4	16

Step 2 - draw these points on graph and join them by smooth curving line As: