Issolvi y=-3(x-1)^2-4

$$y = - 3 ( x - 1 ) ^ { 2 } - 4$$

Solvi għal y

$$y=-3\left(x-1\right)^{2}-4$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

$$y=-3\left(x^{2}-2x+1\right)-4$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'x^{2}-2x+1.

$$y=-3x^{2}+6x-3-4$$

Naqqas 4 minn -3 biex tikseb -7.

$$y=-3x^{2}+6x-7$$

Solvi għal x (complex solution)

$$x=-\frac{\sqrt{-3y-12}}{3}+1$$

$$x=\frac{\sqrt{-3y-12}}{3}+1$$

Solvi għal x

$$x=-\frac{\sqrt{-3y-12}}{3}+1$$

$$x=\frac{\sqrt{-3y-12}}{3}+1\text{, }y\leq -4$$