Whakaoti i te y=-3/4left(x+3right)^2+1

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

Whakaoti mō y

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+3\right)^{2}.

$$y=-\frac{3}{4}\left(x^{2}+6x+9\right)+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{3}{4} ki te x^{2}+6x+9.

$$y=-\frac{3}{4}x^{2}-\frac{9}{2}x-\frac{27}{4}+1$$

Tāpirihia te -\frac{27}{4} ki te 1, ka -\frac{23}{4}.

$$y=-\frac{3}{4}x^{2}-\frac{9}{2}x-\frac{23}{4}$$

Whakaoti mō x (complex solution)

$$x=-\frac{2\sqrt{3-3y}}{3}-3$$

$$x=\frac{2\sqrt{3-3y}}{3}-3$$

Whakaoti mō x

$$x=-\frac{2\sqrt{3-3y}}{3}-3$$

$$x=\frac{2\sqrt{3-3y}}{3}-3\text{, }y\leq 1$$