Question

1a and 1b question what is the quadrant function

Answer 1

a). Function is not a quadratic function

b). Quadratic function.

Explanation:

1.a). x y Ist difference IInd difference

-2 -1 - -

-1 0 0 - (-1) = 1 -

0 4 4 - 0 = 4
`d_1` = 4 - 1 = 3

1 9 9 - 4 = 5
`d_2` = 5 - 4 = 1

2 15 15 - 9 = 6
`d_3` = 6 - 5 = 1

Since, 2nd difference
`d_1`,
`d_2` and
`d_3` from the table are not common, function represented by the table is not a quadratic function.

b). -3x²+ x = y - 11

-3x² + x + 11 = y

y = -3x² + x + 11

Since, the highest degree term of the given function is of 2nd degree given function is a quadratic function.