korzystajac z podanych wzorów funkcji i ich wykresów , ustal współrzędne zanzaczonych punktów
A :
y=2x²-3x
x| 0 | 1 |-1 |½ | 2 |3|
---------------------------------
y | | | | | |
B:
y= ¼(x-2)² + 1
x| 0 | 1 |-1 |2 | -2 |3|-3
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y | | | | | | |
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A: |0|-1|-2|-3|2|9
B: |2|1,25|3,25|1|5|1,25|7,25
y=2x²-3x
x 0 1 -1 ½ 2 3
................................
y 0 -1 5 -1 2 9
bo:
2×0²-3×0=0
2×1²-3×1=-1
2×(-1)²-3×(-1)=2+3=5
2×[½]²-3×½=½-³/₂=-1
2×2²-3×2=8-6=2
2×3²-3×3=18-9=9
y=¼(x-2)²+1
y=¼[x²-4x+4]+1
y=¼x²-x+2
x 0 1 -1 2 -2 3 -3
......................................................
y 2 1¼ 3¼ 1 5 1¼ 7¼
bo:
¼×0-0+2=2
¼×1²-1+2=1¼
¼×[-1]²+1+2=3¼
¼×2²-2+2=1
¼×[-2]²+2+2=5
¼×3²-3+2=1¼
¼×[-3]²+3+2=7¼