Question

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Select the table of values where the quadratic function changes direction at a different value of x than the others.


Imagine that this is a graph.


A.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


B.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


C.

x -3 -2 -1 0 1 2 3

y 4 3 4 7 12 19 28


D.

x -3 -2 -1 0 1 2 3

y 1 -1 1 7 17 31 49

Answer 1

i think the answer is B. x-3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22

Answer 2

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

Explanation:

The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).

Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

we see that the turning point is at (2, 3) which represents a different x-value.