4.2-bo'lim: Parabolalar

1-7-masalalar uchun quyidagi parabolalarning grafigini chizing. Grafikda cho'qqi, y kesma, x-kesmalar (agar mavjud bo'lsa) va cho'qqining har ikki tomonida kamida bitta nuqta bo'lishi kerak.

1. \(f\left( x \right) = {\left( {x + 4} \right)^2} - 3\) Yechim
2. \(f\left( x \right) = 5{\left( {x - 1} \right)^2} - 20\) Yechim
3. \(f\left( x \right) = 3{x^2} + 7\) Yechim
4. \(f\left( x \right) = {x^2} + 12x + 11\) Yechim
5. \(f\left( x \right) = 2{x^2} - 12x + 26\) Yechim
6. \(f\left( x \right) = 4{x^2} - 4x + 1\) Yechim
7. \(f\left( x \right) = - 3{x^2} + 6x + 3\) Yechim

8-10-masalalar uchun quyidagi tenglamalarni \(y = a{\left( {x - h} \right)^2} + k\) ko'rinishiga aylantiring.

1. \(f\left( x \right) = {x^2} - 24x + 157\) Yechim
2. \(f\left( x \right) = 6{x^2} + 12x + 3\) Yechim
3. \(f\left( x \right) = - {x^2} - 8x - 18\) Yechim