17. Millimetrli qog‘ozda $y=3x^2$ funksiyaning grafigini yasang. Grafik bo‘yicha: 1) $x=-2,8; -1,2; 1,5; 2,5$ bo‘lganda $y$ ning qiymatini toping; 2) $y=9; 6; 2; 8; 1,3$ bo‘lganda $x$ ning qiymatini taqriban toping.

Question

Вопрос: $Фото задания: 17. Millimetrli qog‘ozda $y=3x^2$ funksiyaning grafigini yasang. Grafik bo‘yicha: 1) $x=-2,8; -1,2; 1,5; 2,5$ bo‘lganda…$ Фото задания

17. Millimetrli qog‘ozda $y=3x^2$ funksiyaning grafigini yasang. Grafik bo‘yicha: 1) $x=-2,8; -1,2; 1,5; 2,5$ bo‘lganda $y$ ning qiymatini toping; 2) $y=9; 6; 2; 8; 1,3$ bo‘lganda $x$ ning qiymatini taqriban toping.

Accepted Answer

Grafikni chizish uchun quyidagi nuqtalarni hisoblaymiz: $x=-2,-1,0,1,2$ da $y=3x^2$ mos ravishda $12,3,0,3,12$ bo‘ladi. Nuqtalarni silliq parabola bilan tutashtiramiz.

1) $y=3x^2$ ga qiymatlarni qo‘yamiz:

$x=-2.8$: $y=3\cdot(-2.8)^2=23.52$;
$x=-1.2$: $y=3\cdot(-1.2)^2=4.32$;
$x=1.5$: $y=3\cdot1.5^2=6.75$;
$x=2.5$: $y=3\cdot2.5^2=18.75$.

2) $y=3x^2$ dan $x=\pm\sqrt{y/3}$. Har bir musbat $y$ qiymatiga ikkita qarama-qarshi $x$ mos keladi:

$y=9$: $x\approx\pm1.73$;
$y=6$: $x\approx\pm1.41$;
$y=2$: $x\approx\pm0.82$;
$y=8$: $x\approx\pm1.63$;
$y=1.3$: $x\approx\pm0.66$.

17. Millimetrli qog‘ozda \(y=3x^2\) funksiyaning grafigini yasang. Grafik bo‘yicha: 1) \(x=-2,8; -1,2; 1,5; 2,5\) bo‘lganda \(y\) ning qiymatini toping; 2) \(y=9; 6; 2; 8; 1,3\) bo‘lganda \(x\) ning qiymatini taqriban toping.

Ответ: