APFIVE Quadratic Function From Average Rates of Change
For a quadratic function $q$, the average rates of change on the consecutive unit intervals $[0,1]$, $[1,2]$, $[2,3]$, and $[3,4]$ are $-3$, $1$, $5$, and $9$, respectively. Which of the following defines $q(x)$?
A
q(x) = 4x^2 - 7x + 4
B
q(x) = 2x^2 - 5x + 4
C
q(x) = 2x^2 + 7x + 4
D
q(x) = 2x^2 - 7x + 2
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