ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAIAJAK
1
abcQuadratic
discrim.
axis
extremum
VertexVertex-formx1x2discrim
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1949x4 x² + 9x + 465-4.54( -4.5, 4 )(x - -4.5)² - 4622
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100 000( 0, 0 )(x - 0)²000
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110 x x² + x1-0.50( -0.5, 0 )(x - -0.5)²111
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111 x1 x² + x + 1-3-0.51( -0.5, 1 )(x - -0.5)² - 111.00-0.5 + 1 i-0.5 - 1 i
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00
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1212x1 x² + 2x + 10-11( -1, 1 )(x - -1)² - 10-1-1
11
1323x2 x² + 3x + 21-1.52( -1.5, 2 )(x - -1.5)² - 21-1-1
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1434x3 x² + 4x + 34-23( -2, 3 )(x - -2)² - 31-1-1
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3543x²5x43x² + 5x + 4-23-0.8334( -0.833, 4 )
(x - -0.833)² - 4
22.00-0.833 + 2 i-0.833 - 2 i
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00
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111 x1 x² + x + 1-3-0.51( -0.5, 1 )(x - -0.5)² - 111.00-0.5 + 1 i-0.5 - 1 i
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1212x1 x² + 2x + 10-11( -1, 1 )(x - -1)² - 10-1-1
17
1313x1 x² + 3x + 15-1.51( -1.5, 1 )(x - -1.5)² - 1211
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1414x1 x² + 4x + 112-21( -2, 1 )(x - -2)² - 1200
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1515x1 x² + 5x + 121-2.51( -2.5, 1 )(x - -2.5)² - 1311
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1616x1 x² + 6x + 132-31( -3, 1 )(x - -3)² - 1411
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1717x1 x² + 7x + 145-3.51( -3.5, 1 )(x - -3.5)² - 1522
22
1818x1 x² + 8x + 160-41( -4, 1 )(x - -4)² - 1511
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1919x1 x² + 9x + 177-4.51( -4.5, 1 )(x - -4.5)² - 1622
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110110x1 x² + 10x + 196-51( -5, 1 )(x - -5)² - 1722
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00
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101 1 x² + 1-401( 0, 1 )(x - 0)² - 111.000 + 1 i0 - 1 i
27
1-10-1x x² + -1x10.50( 0.5, 0 )(x - 0.5)²122
28
1-2-1-2x-1 x² + -2x + -181-1( 1, -1 )x233
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1-3-2-3x-2 x² + -3x + -2171.5-2( 1.5, -2 )(x - 1.5)² - -2355
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1-4-3-4x-3 x² + -4x + -3282-3( 2, -3 )(x - 2)² - -3466
31
1-5-4-5x-4 x² + -5x + -4412.5-4( 2.5, -4 )(x - 2.5)² - -4588
32
1-6-5-6x-5 x² + -6x + -5563-5( 3, -5 )(x - 3)² - -5588
33
1-7-6-7x-6 x² + -7x + -6733.5-6( 3.5, -6 )(x - 3.5)² - -661010
34
1-8-7-8x-7 x² + -8x + -7924-7( 4, -7 )(x - 4)² - -771111
35
1-9-8-9x-8 x² + -9x + -81134.5-8( 4.5, -8 )(x - 4.5)² - -881313
36
1-10-9-10x-9
x² + -10x + -9
1365-9( 5, -9 )(x - 5)² - -981313
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00
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00
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00
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1313x1 x² + 3x + 15-1.51( -1.5, 1 )(x - -1.5)² - 1211
41
1323x2 x² + 3x + 21-1.52( -1.5, 2 )(x - -1.5)² - 21-1-1
42
1333x3 x² + 3x + 3-3-1.53( -1.5, 3 )(x - -1.5)² - 311.00-1.5 + 1 i-1.5 - 1 i
43
1343x4 x² + 3x + 4-7-1.54( -1.5, 4 )(x - -1.5)² - 422.00-1.5 + 2 i-1.5 - 2 i
44
1353x5 x² + 3x + 5-11-1.55( -1.5, 5 )(x - -1.5)² - 522.00-1.5 + 2 i-1.5 - 2 i
45
1363x6 x² + 3x + 6-15-1.56( -1.5, 6 )(x - -1.5)² - 633.00-1.5 + 3 i-1.5 - 3 i
46
1373x7 x² + 3x + 7-19-1.57( -1.5, 7 )(x - -1.5)² - 733.00-1.5 + 3 i-1.5 - 3 i
47
1383x8 x² + 3x + 8-23-1.58( -1.5, 8 )(x - -1.5)² - 833.00-1.5 + 3 i-1.5 - 3 i
48
1393x9 x² + 3x + 9-27-1.59( -1.5, 9 )(x - -1.5)² - 944.00-1.5 + 4 i-1.5 - 4 i
49
13103x10 x² + 3x + 10-31-1.510( -1.5, 10 )(x - -1.5)² - 1044.00-1.5 + 4 i-1.5 - 4 i
50
00
51
1303x x² + 3x9-1.50( -1.5, 0 )(x - -1.5)²211
52
12-12x-1 x² + 2x + -18-1-1( -1, -1 )(x - -1)² - -1211
53
12-22x-2 x² + 2x + -212-1-2( -1, -2 )(x - -1)² - -2211
54
12-32x-3 x² + 2x + -316-1-3( -1, -3 )(x - -1)² - -3322
55
12-42x-4 x² + 2x + -420-1-4( -1, -4 )(x - -1)² - -4322
56
12-52x-5 x² + 2x + -524-1-5( -1, -5 )(x - -1)² - -5322
57
12-62x-6 x² + 2x + -628-1-6( -1, -6 )(x - -1)² - -6433
58
12-72x-7 x² + 2x + -732-1-7( -1, -7 )(x - -1)² - -7433
59
12-82x-8 x² + 2x + -836-1-8( -1, -8 )(x - -1)² - -8433
60
12-92x-9 x² + 2x + -940-1-9( -1, -9 )(x - -1)² - -9433
61
12-102x-10 x² + 2x + -1044-1-10( -1, -10 )(x - -1)² - -10544
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