The curve y = a x 2 + b x + c shown in the accompanying figure passes through the points ( x 1 , y 1 ), ( x 2 , y 2 ), and ( x 3 , y 3 ). Show that the coefficients a , b , and c form a solution of the system of linear equations whose augmented matrix is [ x 1 2 x 1 1 y 1 x 2 2 x 2 1 y 2 x 3 2 x 3 1 y 3 ] FIGUREE x-21
The curve y = a x 2 + b x + c shown in the accompanying figure passes through the points ( x 1 , y 1 ), ( x 2 , y 2 ), and ( x 3 , y 3 ). Show that the coefficients a , b , and c form a solution of the system of linear equations whose augmented matrix is [ x 1 2 x 1 1 y 1 x 2 2 x 2 1 y 2 x 3 2 x 3 1 y 3 ] FIGUREE x-21
The curve
y
=
a
x
2
+
b
x
+
c
shown in the accompanying figure passes through the points (x1, y1), (x2, y2), and (x3, y3). Show that the coefficients a, b, and c form a solution of the system of linear equations whose augmented matrix is
[
x
1
2
x
1
1
y
1
x
2
2
x
2
1
y
2
x
3
2
x
3
1
y
3
]
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