Odpowiedź:
z.1
f ( x) = 2 x² - 8 x + 6 = 2*(x - 2)² - 2
lub
p = [tex]\frac{-b}{2 a} = \frac{8}{2*2}= 2[/tex]
q = f ( 2) = 2*2² - 8*2 + 6 = 8 - 16 + 6 = - 2
f( x) = a*( x - p)² + q
f( x) = 2*(x - 2)² - 2
===================
z.2
f ( x) = 4*(x - 3)² + 2 = 4*(x² - 6 x + 9 ) + 2 = 4 x² -24 x + 36 + 2
f ( x) = 4 x² - 24 x + 38
======================
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Odpowiedź:
z.1
f ( x) = 2 x² - 8 x + 6 = 2*(x - 2)² - 2
lub
p = [tex]\frac{-b}{2 a} = \frac{8}{2*2}= 2[/tex]
q = f ( 2) = 2*2² - 8*2 + 6 = 8 - 16 + 6 = - 2
f( x) = a*( x - p)² + q
f( x) = 2*(x - 2)² - 2
===================
z.2
f ( x) = 4*(x - 3)² + 2 = 4*(x² - 6 x + 9 ) + 2 = 4 x² -24 x + 36 + 2
f ( x) = 4 x² - 24 x + 38
======================
Szczegółowe wyjaśnienie: