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Use the table to answer the question.

This table shows the corresponding y-values for a given set of x-values.
x-values y-values
−1
6
0 5
1 6
2 9
3 14
Create a quadratic model for the dataset in the xy
-chart.

(1 point)
Responses

f(x)=x+5
f left parenthesis x right parenthesis equals x plus 5

f(x)=x2+7
f left parenthesis x right parenthesis equals x squared plus 7

f(x)=x2+5
f left parenthesis x right parenthesis equals x squared plus 5

f(x)=2x+5
f left parenthesis x right parenthesis equals 2 x plus 5
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All Answers 1

Answered by GPT-5 mini AI
f(x) = x^2 + 5

Check: f(0)=5, f(±1)=6, f(2)=9, f(3)=14, which matches the table.