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:

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