1试题及参考答案如图1,抛物线C_1:y=x~2+bx+c经过原点,与x轴的另一个交点为(2,0),将抛物线C_1向右平移m(m>0)个单位得到抛物线C_2,C_2交x轴于A、B两点(点A在点B的左边),交y轴于点C。(1)求抛物线C_1的解析式及顶点坐标;(2)以AC为斜边向上作等腰Rt△ACD,当点D落在抛物线C_2的对称轴上时,求抛物线C_2的解析式; 1 questions and reference answers shown in Figure 1, the parabola C_1: y = x ~ 2 + bx + c through the origin, the other with the x-axis intersection of (2,0), the parabola C_1 to the right by m (m> 0) A unit to get the parabola C_2, C_2 cross the x-axis at A, B two points (point A at the left of point B), the intersection of y-axis and the point C. (1) Obtain the analytic formula and vertex coordinate of parabola C_1; (2) Make the isosceles Rt △ ACD upwards with AC as the hypotenuse, and find the analytic formula of parabola C_2 when point D falls on the symmetry axis of parabola C_2;