Which table does not represent a linear function?

D . . . (it represents a quadratic function)

Step-by-step explanation:

The x-values are 1 unit apart for all values in all tables, making the problem much simpler. All you need to do is find the table where the y-value differences are not the same from one line to the next.

In table A, y-values decrease by 3.

In table B, y-values increase by 5.

In table C, y-values increase by 1.

In table D, y-values increase by 3, 2, 1—numbers that are not constant. (These differences decrease by 1, a number that *is* constant. Since the 2nd differences are constant, the table represents a 2nd degree function.)

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

answer: howdy

step-by-step explanation: