[tex]1 \\\\y=ax^2+bx+c\\\\a)\\\\a=-2,\ \ b=3,\ \ c=-4\\\\y= -2x^2+3x-4\\\\b)\\\\a=0.5,\ \ b=0 , \ \ c=2\\\\y= 0,5x^2+0x+2=0,5x^2+2[/tex]
[tex]2)\ \ \Delta =b^2-4ac \\\\a)\\\\y=2x^2+4x-5\\a=2,\ \ b=4,\ \ c=-5\\\\\Delta =4^2-4*2*(-5)=16+40=56\\\\wierzcholek\ paraboli :\ \ \ W(p,q)\\\\p=\frac{-b}{2a}=\frac{-4}{2*2}=-\frac{4}{4}=-1\\\\q=\frac{-\Delta }{4a}=\frac{-56}{4*2}=-\frac{56}{8}=-7\\\\W=(-1,-7)[/tex]
[tex]b)\\\\y=-3x^2+6x-2\\a=-3,\ \ b=6,\ \ c=-2\\\\\Delta =6^2-4* (-3)*(-2)=36-24=12\\\\wierzcholek\ paraboli :\ \ \ W(p,q)\\\\p=\frac{-b}{2a}=\frac{-6}{2* (-3)}= \frac{-6}{-6}= 1\\\\q=\frac{-\Delta }{4a}=\frac{-12}{4* (-3)}= \frac{-12}{-12}=1\\\\W=(1,1)[/tex]
