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 x**

^{2}is positiveLets our quadratic equation is y = x

^{2}( Here co-efficient of x

^{2}is +1 )

**Step 1 -**find several points for equation y = x

^{2}As:

x | y = x^{2} |

-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 x**

^{2}is negative.Let our quardetic equation is As : y = -x

^{2}

^{ }( Here co-efficient of x

^{2}is -1 )

**Step 1 -**find several points for equation y = - x

^{2}As:

x | y = -x^{2} |

-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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