Asosiy tarkibga o'tish

1.10-bo'lim : Umumiy grafiklar

16. Grafik kalkulyatordan foydalanmasdan \(\displaystyle {x^2} + \frac{{{{\left( {y - 6} \right)}^2}}}{9} = 1\) grafigini chizing.

Yechim

Bu shunchaki standart shakldagi ellips (agar u birinchi atamani \(\frac{{{x^2}}}{1}\) sifatida qayta yozishga yordam bersa) va shuning uchun biz uning \(\left( {0,6} \right)\) markaziga ega ekanligini ko'rishimiz mumkin, chap/o'ng ko'p nuqta markazdan 1 birlik uzoqda bo'ladi va yuqori/pastki nuqta markazdan 3 birlik uzoqlikda bo'ladi.

Mana ellipsning qisqacha eskizi.

The graph of the ellipse \({x^2} + \frac{{{{\left( {y - 6} \right)}^2}}}{9} = 1\). The ellipse has center (0,6) and is taller than it is wide. Its leftmost and rightmost points are (-1,6) and (1,6) and its lowest and highest points are (0,3) and (0,9).