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Odpowiedź:
zad 2
a)
y=3x² - 5x +2
a = 3 , b = - 5 , c = 2
Δ = b² - 4ac = (- 5)² - 4 *3 * 2 = 25 - 24 =1
b)
y = x² + 2x - 1
a = 1 , b = 2 , c = - 1
Δ = b² - 4ac = 2² - 4 * 1 * (- 1) = 4 + 4 = 8
zad 3
y = 2x² - 5x + 4
a = 2 , b = - 5 , c = 4
Δ = b² - 4ac = (- 5)² - 4 * 2 * 4 = 25 - 32 = - 7
y =a(x - p)² + q
p = - b/2a = 5/4 = 1 1/4
q = - Δ/4a = 7/8
y = 2(x - 5/4)² + 7/8