35.     Parabola uchining koordinatalarini toping:

            1) y = x² – 4x – 5;                                          2) y = x² + 3x + 5;

            2) y = –x² – 2x + 5;                                        4) y = –x² + 5x – 1.

 

36.     Parabolaning koordinata o`qlari bilan kesishish nuqtalarining koordinatalarini toping:

    1) y = x² – 3x + 5;                                          2) y = –2x² – 8x + 10;

    3) y = –2x² +6;                                               4) y = 7x² + 14x.

 

Funksiyaning grafigini yasang va grafik bo`yicha: 1) x ning funksiyaning qiymatlari musbat; manfiy bo`ladigan qiymatlarini toping; 2) funksiyaning o`sish va kamayish oraliqlarini toping; 3) x ning qanday qiymatlarida funksiya eng katta yoki eng kichik qiymatlar qabul qilishini aniqlang va ularni toping (37–38):

37.       1) y = x² – 7x +10;                                         2) y = –x² + x + 2;

  3) y = –x² + 6x – 9;                                        4) y = x² + 4x + 5.

 

38.       1) y = 4x² + 4x –  3;                                       2) y = –3x² – 2x + 1;

  3) y = –2x² + 3x + 2;                                      4) y = 3x² – 8x + 4;

  5) y = 4x² + 12x +9;                                       6) y = –4x² + 4x – 1;

  7) y = 2x² – 4x + 5;                                        4) y = –3x² – 6x – 4.

 

 

 

 

 

 

 

 

 

  

 

 

 

 

39.   Kvadrat funksiyaning berilgan grafigi (17- rasm) bo`yicha uning xossalari aniqlang.

 

 

40.  15 sonini ikkita sonning yig`indisi shaklida tasvirlangki, bu sonlarning ko`paytmasi eng katta bo`lsin.

 

41.    Ikki sonning yig`indisi 10 ga teng. Agar shu sonlar kublarining yig`indisi kichik bo`lsa, shu sonlarni toiping.

 

42.  Uy devorlariga yondashgan to`g`ri to`rtburchak shaklidagi maydonni uch tomonidan 12 m li panjara bilan o`rab olish talab etiladi. Maydonning ol`chamlari qanday bo`lganda uning yuzi eng katta bo`ladi?

 

43.    Uchburchakda asosi bilan shu asosga tushirilgan balandlikning yig`indisi 14 sm ga teng. Shunday uchburchak 25 sm<sup>2</sup> ga teng yuzga ega bo`lishi mumkinmi?

 

44.    Grafikni yasamasdan, x ning qanday qiymatida funksiya eng katta (eng kichik) qiymatga ega bo`lishini aniqlang; shu qiymatni toping:

1) y = x² – 6x +13;                                         2) y = x² – 2x – 4;

3) y = –x² + 4x + 3;                                        4) y = 3x² – 6x + 1.

 

45.    Agar:

1) parabolaning tarmoqlari yuqoriga yo`nalgan, uning uchining abssissasi manfiy, ordinatasi esa musbat bo`lsa;

2) parabolaning tarmoqlari pastga yo`nalgan, uning uchining abssissasi va ordinatasi manfiy bo`lsa, y=ax²+bx+c parabola tenglamasi koeffitsiyentlarining ishorasini aniqlang.

 

46.   5 m balandlikdan kamondan 50 m/s tezlik bilan yuqoriga vertikal ravishda nayza otildi. Nayzaning t sekunddan keyin ko`tarilgan balandligi metrlarda  formula bilan hisoblanadi, bunda g ≈ 10 m/s² . nayzaning necha sekunddan keyin:

 

         1) eng katta balandlikka erishadi va u qanday balandlik bo`ladi?

         2) Yerga tushadi?

TEST