y=-4(x-1)^2-4 eching

$$y = - 4 ( x - 1 ) ^ { 2 } - 4$$

y uchun yechish

$$y=-4x^{2}+8x-8$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$y=-4\left(x^{2}-2x+1\right)-4$$

-4 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=-4x^{2}+8x-4-4$$

-8 olish uchun -4 dan 4 ni ayirish.

$$y=-4x^{2}+8x-8$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{-y-4}}{2}+1$$

$$x=\frac{\sqrt{-y-4}}{2}+1$$

x uchun yechish

$$x=-\frac{\sqrt{-y-4}}{2}+1$$

$$x=\frac{\sqrt{-y-4}}{2}+1\text{, }y\leq -4$$