Odpowiedź:
a) y = - 11 x² +2 x - 3
p = [tex]\frac{- b}{2 a} = \frac{- 2}{- 22} = \frac{1}{11}[/tex]
q = - 11*( [tex]\frac{1}{11}[/tex] )² + 2* [tex]\frac{1}{11}[/tex] - 3 = - [tex]\frac{1}{11}[/tex] + [tex]\frac{2}{11}[/tex] - 3 = - 3 [tex]\frac{10}{11}[/tex]
W = ( p, q) = ( [tex]\frac{1}{11} , - 3 \frac{10}{11}[/tex] )
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b) y = - 10 x² -4 x + 1
a = - 10 b = - 4 c = 1
p = [tex]\frac{4}{-20} = - \frac{1}{5}[/tex]
Δ = b² - 4 a*c = 16 - 4*(-10)*1 = 56
q = [tex]\frac{-56}{- 40} =\frac{7}{5}[/tex]
W = ( - [tex]\frac{1}{5} ; \frac{7}{5}[/tex] )
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c) y = 2*( x - 5 )² + 12
p = 5 q = 12
W = ( 5; 12)
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Szczegółowe wyjaśnienie: