Johndoe97
Johndoe97 Johndoe97
  • 07-04-2017
  • Mathematics
contestada

(0,-4),(1,0),(2,2) find a quadratic function in standard form for each set of points.

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Hagrid
Hagrid Hagrid
  • 21-04-2017
We are given the points
 (0,-4),(1,0),(2,2)
The standard form a quadratic function (in terms of x) is
y = Ax2 + Bx + C
Subsitute the points
-4 = 0 + 0 + C
C = -4

0 = A + B - 4

2 = 4A + 2B - 4

Solve for A and B
A = -1
B = 5

The function is
y = -x2 + 5x - 4
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