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spayn [35]
3 years ago
9

A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

D = 1/2 , E = -1/2 , F = -5/2

Step-by-step explanation:

vertical parabola : ( 1,-2), ( -3, 10 ), (4, 31 )

General form ; x^2 + y^2 + Dx + Ey + F = 0

( 1 ,-2 ) = x1, y1

( -3, 10 ) = x2, y2

( 4, 31 ) = x3, y3

hence :

y1 = ax_{1} ^2 + bx_{1} + c

y2 = ax_{2} ^2 + bx_{2}  + c

y3 = ax_{3} ^2  + bx_{3} + c

attached below is the detailed solution required

D = 1/2 , E = -1/2 , F = -5/2

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