Given that the function f (x) satisfies f (2 + x) x f (6-x) = 0, the image of function f (x) is translated according to a vector If G (x) = 2 + X + sin (x + 1), then a vector is

According to the condition given by the title, f (x) is symmetric about (4,0) points, while g (x) is symmetric about (- 1,1) points, so a = (- 5,1)

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1. How to solve the problem of function translation with vector? For example, after f (x) is translated according to (1,2), another function f (x) is obtained. Then how to find the other F (x) and what is the rule?
2. Given that the starting point of the vector a = (2, - 1) is the origin (0,0), what is the coordinate of the end point after translation if the vector a is translated to (- 2,1)? Orz. I read for a long time, but I didn't understand the title Will do, teach me! T0T
3. How to translate the image of function y = x & sup2; + 6x + 11 to get y = x & sup2; Process····································
4. The image f of the function y = cos (2x + π 6) - 2 is translated to f 'according to vector a. the analytic expression of F' is y = f (x). When y = f (x) is an odd function, vector a can be equal to () A. （−π6，-2）B. （−π6，2）C. （π6，-2）D. （π6，2）
5. scalar shift What kind of translation transformation can the image of function y = 2 (x + 3) ^ 2 + 1 become the image of function y = 2x ^ 2?
6. Vector translation problem In this case, we know that the original function is y = f (2x-1) + 1, and we can get y = f (2x + 1) - 1 from the translation of vector a, and find a My solution, please correct and give me the correct solution, Let a (h, K) Original function: y = F2 (x-1 / 2) after translation: y = F2 (x + 1 / 2) - 1 X-1 / 2 = x + 1 / 2 = x 'x + H = x', that is, x = x '- H That is, X-1 / 2 = x + 1 / 2-h The solution is: H = 1 K I will solve, mainly h, the answer is - 1 Chaos
7. If the vector n = (2, - 1) is translated according to the vector a = (3, - 3) to get the vector m, then the module LML of M is obtained=
8. If we translate the vector n = (1, - 2) according to the vector a = (1, - 1) to get the vector m, then what is the modulus / M / = of the vector
9. 4) After the translation vector a = (A1, A2) of point m (1,3), the corresponding point M1 (- 2,1) is obtained, then the coordinate of a is
10. After the point a (- 2,3) is translated according to the vector a = (1,2), the point a ′ is obtained, then the vector → AA ′= Are you wrong in this question? Others say it is (1.2)
11. Translation concept Translate a graph, and then connect two corresponding points to a line segment. Is such a line segment called a corresponding line segment?
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