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歡迎您訪問數學考題練習:關于二次函數y=2-(x+1)2的圖象,下列判!

數學考題練習:關于二次函數y=2-(x+1)2的圖象,下列判

更新時間:2024-01-12 16:31:41作者:貝語網校

關于二次函數y=2-(x+1)2的圖象,下列判斷正確的是

A.圖象開口向上

B.圖象的對稱軸為直線x=1

C.圖象有最低點

D.圖象的頂點坐標為(-1,2)

試題答案

D

試題解析

已知二次函數的頂點式,可確定拋物線的開口方向,頂點坐標及對稱軸,逐一判斷即可.

解答:因為二次項系數為-1<0,故函數圖象開口向下,有最大值,即沒有最低點,故A、C選項錯誤;

對稱軸為 x=-1,故選項B錯誤;

當x=-1時,函數取得最大值2,其圖象的頂點坐標為(-1,2),D選項正確.

故選D.

點評:本題考查的是二次函數的頂點式y=a(x-h)2+k,頂點坐標是(h,k),對稱軸是x=h.

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