It is known that the intersection of the line y = 2x-1 and the two coordinate axes is A.B. if y = 2x2 is translated and passes through two points A.B., then the analytic expression of the translated quadratic function is______ ．

It is known that the intersection of the line y = 2x-1 and the two coordinate axes is A.B. if y = 2x2 is translated and passes through two points A.B., then the analytic expression of the translated quadratic function is______ ．

Substituting x = 0 into y = 2x-1 to get y = - 1, then the coordinate of point a is (0, - 1); substituting y = 0 into y = 2x-1 to get 2x-1 = 0, then the solution is x = 12, then the coordinate of point B is (12, 0). Let the analytic expression of the parabola after translation be y = 2x2 + BX + C, substituting a (0, - 1) and B (12, 0) to get C = − 112 + 12b + C = 0, then the solution is b = 1C = −

It is known that the intersection of the line y = 2x-1 and the two coordinate axes is A.B. if y = 2x2 is translated and passes through two points A.B., then the analytic expression of the translated quadratic function is______ ．

Substituting x = 0 into y = 2x-1 to get y = - 1, then the coordinates of point a are (0, - 1); substituting y = 0 into y = 2x-1 to get 2x-1 = 0, solving x = 12, then the coordinates of point B are (12, 0). Let y = 2x2 + BX + C be the analytical formula of the parabola after translation, and C = - 112 + 12b + C = 0 be substituting a (0, - 1) and B (12, 0) to get b = 1C = - 1, so the analytical formula of the parabola after translation is y = 2x2 + X-1

Y = 2 / A to the power of X + A to the power of - x (a is greater than 0 and a is not equal to 1)

According to the definition of function parity
Let f (x) = y = (A / 2) ^ x + A ^ - X
f（1）=a/2+1/a
f（-1）=2/a+a
Because f (1) ≠ f (- 1)
f（1）≠-f（-1）
So y = (A / 2) ^ x + A ^ - x
It's a non odd non even function
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