a)
[tex]y=-(x+4)(x-1)\\
x+4=0\\
x_1=-4\\
x-1=0\\
x_2=1\\
p=\frac{-4+1}{2}=-\frac{3}{2}=-1\frac{1}{2}\\
q=-(-\frac{3}{2}+4)(-\frac{3}{2}-1)=-\frac{5}{2}*(-\frac{5}{2})=\frac{25}{4}=6\frac{1}{4}\\
W=(-1\frac{1}{2},6\frac{1}{4})[/tex]
b)
[tex]y=(\frac{1}{2}x-2)(6x+12)\\\frac{1}{2}x-2=0\\x_1=4\\6x+12=0\\x_2=-2\\p=\frac{4-2}{2}=1\\q=(\frac{1}{2}*1-2)(6*1+12)=-\frac{3}{2}*18=-27\\
W=(1,-27)[/tex]
c)
[tex]y=(2x+3)(4-3x)\\
2x+3=0\\
x_1=-\frac{3}{2}=-1\frac{1}{2}\\
4-3x=0\\
x_2=\frac{4}{3}=1\frac{1}{3}\\
p=\frac{-\frac{3}{2}+\frac{4}{3}}{2}=\frac{-\frac{9}{6}+\frac{8}{6}}{2}=\frac{-\frac{1}{6}}{2}=-\frac{1}{12}\\
q=(2*(-\frac{1}{12})+3)(4-3*(-\frac{1}{12}))=(-\frac{1}{6}+3)(4+\frac{1}{4})=2\frac{5}{6}*4\frac{1}{4}=\frac{17}{6}*\frac{17}{4}=\frac{289}{24}=12\frac{1}{24}\\
W=(-\frac{1}{12},12\frac{1}{24})[/tex]
