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■ 2次関数の頂点の座標,解と定数の大小問題
[ 第1問 / 全12問 ]    次の問題
 a を定数とし,x の2次関数
y=x2−2(a−1)x+2a2−8a+4 ……1)
のグラフをG とする。

(1) グラフG が表わす放物線の頂点の座標は

(a− , a2a+)

である。グラフGx 軸と異なる2点で交わるのは

.√nni<a<+.√nni

のときである。さらに,この二つの交点がともにx 軸の負の部分にあるのは

.√nni<a<.√nni

のときである。

(センター試験H19年(本試験) 数学I第2問)

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