已知一次函数y=ax+b的图象过点(-2,1),则抛物线y=ax2-bx+3的图象过点(  ) A.(-2,1) B.(2,1) C.(2,-1) D.(-2,-1)

问题描述:

已知一次函数y=ax+b的图象过点(-2,1),则抛物线y=ax2-bx+3的图象过点(  )
A. (-2,1)
B. (2,1)
C. (2,-1)
D. (-2,-1)

把点(-2,1)代入y=ax+b得-2a+b=1,∴b=2a+1,当x=-2时,y=ax2-bx+3=4a+2b+3,把b=2a+1代入得y=4a+4a+2+3=8a+5,所以A选项错误;当x=2时,y=ax2-bx+3=4a-2b+3,把b=2a+1代入得y=4a-4a-2+3=1,所以B选项正确;当x=2...