SOLUTION: What's the equation of the parabola {{{ y = ax^2 + bx + c }}} which passes through the points of (0, 3), (1,4), and (2, 3)? A.) y = -(¼)x2 + (½)x + 3 B.) y = -(⅔)x2 + (5/

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Question 1077218: What's the equation of the parabola which passes through the points of (0, 3), (1,4), and (2, 3)?
A.) y = -(¼)x2 + (½)x + 3
B.) y = -(⅔)x2 + (5/3)x + 3
C.) y = 2x2 - 13x + 21
D.) y = -x2 + 2x + 3

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

What's the equation of the parabola which passes through the points of (, ), (,), and (,)?
use given points to find ,,and
...............for point (, )

.........eq.1
............for and (,)


.........solve for
..........eq.2
............,, and (, )





........eq.3
find
..........eq.2


so, your equation is:

and your answer is: D.)

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