二次函数y=ax2+bx+c的图象平移时,图象的开口方向和形状都不变,即a不变,变化的只是它的位置.图象的变化规律和顶点的变化规律是一样的,因此,抛物线的平移可以看做是顶点的平移,其规律可以概括为:平移变化在顶点.下面结合抛物线平移的几种常见题型予以剖析.一、原抛物线、新抛物线、平移过程中的抛物线,已知任意两个求第三个例1抛物线y=2x2-8x+5向左平移4个单位,再向上平移2个单位,求平移后的解析式. The quadratic function y = ax2 + bx + c image translation, the image of the opening direction and shape are the same, that is, a constant, the change is only its position. The image of the law of change and the vertices of the law is Therefore, the translation of the parabola can be regarded as the translation of the vertex, and its regularity can be summarized as follows: The translation changes at the vertex. The following parses several common types of parabola translations: I. The original parabola, the new parabola, the translation process In the parabola, known any two of the third case of seeking a parabola y = 2x2-8x + 5 4 units of translation to the left, and then up two units of translation, after the translation of the analytical expression.