SOLUTION: 16. Which quadratic rule represents the data in the table? x -1,0,1,2,3 y 6,5,6,9,14 this is what the data looks like y = �2x� + 5 y = �x� + 5 y = x� � 5 y = x� + 5 I

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Question 878392: 16. Which quadratic rule represents the data in the table?
x -1,0,1,2,3
y 6,5,6,9,14 this is what the data looks like
y = �2x� + 5
y = �x� + 5
y = x� � 5
y = x� + 5
I think it is b
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Why do you think it is b?

If
Then

So apparently b is incorrect.

Consider the standard form of a quadratic function:

If the point is an element of the solution set, then

must hold and

If the point is an element of the solution set, then

must hold and

If the point is an element of the solution set, then

must hold.

Simplfying:

Substituting

Solving by elimination:

and

Substituting the now known values of a, b, and c into yields:

Checking the result:

Looks right to me.

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
That data shows a vertex at (0,5). Data also shows the vertex is a minimum. Coefficient on leading term must be greater than zero.

Comparing according to standard form equation should make the correct choice clear:
and .