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Math·Advanced Math·Nonlinear functions

hard

The function $f$ is a quadratic function. In the $xy$-plane, the graph of $y=f(x)$ has a vertex at $(1,6)$ and passes through the points $(2,40)$ and $(-1,142)$. What is the value of $f(-2)-f(0)$?

A

108

B

176

C

272

D

312