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在学习二次函数时,同学们通过画图象可以发现:当二次项系数相等时,不同形式的二次函数的图象形状相同,只是位置不同,相互之间可以通过平移得到.平移规律可以简单地表示为“左加右减,上加下减”.由平移规律我们可知:抛物线的顶点平移了几个单位,抛物线上的其他点也相应地平移了几个单位.平移是抛物线的一种重要的变换方式,在平移的过程中,抛物线形状不变、开口方向不变.
When learning the quadratic function, the students can draw the image and find out that when the quadratic coefficients are equal, different forms of quadratic functions have the same shape, but different positions and can be obtained by translation. Can be simply expressed as “left plus right minus, up plus down.” By the law of translation we can see: the top of the parabola translation of a few units, the other points on the parabola corresponding translation of a few units. Translation is Parabolic transformation is an important way in the translation process, the same parabolic shape, opening direction unchanged.