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It is known that the intersection of the line y = 2x-1 and the two axes is a and B respectively, and the image with function y = 2x square passes through a and B after translation RT 1. Find the analytical formula of parabola after translation 2. Calculate the vertex coordinates of the function image after translation [this question is the 14 questions on P31 of ninth grade mathematics class training (Zhejiang Education Edition)]
Y = 2x-1x = 0, y = - 1y = 0, x = 1 / 2A (1 / 2,0) B (0, - 1) y = 2x square + BX + C bring points a and B into 1 / 2-1 + 1 / 2B = 01 / 2B = 1 / 2B = 1 analytic formula y = 2x ^ 2 + x-1y = 2x ^ 2 + X-1 = 2 (x ^ 2 + X / 2) - 1 = 2 (x + 1 / 4) ^ 2-1-1 / 8 = 2 (x + 1 / 4) ^ 2-9 / 8 vertex coordinates (- 1 / 4, - 9 / 8)
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