Y = 1 / 2x + 1, y = 1 / 2x & # 178; - 3 / 2x + 1 find a point m on the symmetry axis of the parabola to make the value of ▏ am-mc ▏ maximum. (a is the intersection of the parabola and the Y axis, BC is the intersection of parabola and X axis, B is on the left side of C)

Y = 1 / 2x + 1, y = 1 / 2x & # 178; - 3 / 2x + 1 find a point m on the symmetry axis of the parabola to make the value of ▏ am-mc ▏ maximum. (a is the intersection of the parabola and the Y axis, BC is the intersection of parabola and X axis, B is on the left side of C)


Let's look at the data! There are a lot of data above! The following is an example. We know that C (1, - 3), a (0,4) d are on the x = 2 line, so that the value of | ad-cd | is the maximum, then the coordinate of point D is_______ Your teacher's practice is to seek the minimum value of AD + CD, not the maximum value of ad-cd



After moving the parabola y = AX2 + BX + C one unit to the right, we can get the square of y = x + 3 and find a, B, C


Y = x & # 178; + 3 shifts one unit to the left
y=(x+1)²+3
The results are as follows
y=x²+2x+4
Therefore, there are three aspects
a=1、b=2、c=4



The parabola y = 2x2 is translated upward by 1 unit, and the analytical formula of parabola is as follows:______ .


∵ the vertex coordinates of the parabola y = 2x2 are (0, 0), ∵ the vertex coordinates of the parabola after translation are (0, 1), ∵ the analytical formula of the parabola is y = 2x2 + 1. So the answer is: y = 2x2 + 1