Question

Find the quadratic function determined by each table​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

x    -2       -1      0        1          2       3

y    4         0     -2       -2         0        4

To Find :  quadratic function

Solution:

Assume

y = ax² + bx  + c

x = 0  then y = -2

=> -2 = 0 + 0 + c

=> c = -2

y = ax² + bx  -2

x = 1   => y = -2

-2  = a + b  -2

=> a + b = 0

x = -1  => y  = 0

=> 0 = a  - b  -2

=> a - b =   2

Adding both

2a = 2

=> a =1

a+ b = 0

=> 1  + b = 0

=> b = -1

y  = x² -x + 2

quadratic function is y(x) =  x² -x + 2

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