Given the function y = x + 2 / 2x + 1, ask if the image of the function can be obtained by the image translation of an inverse scale function?

A:
Y = (x + 2) / (2x + 1), right?
y=(x+2)/(2x+1)
=(1/2)(2x+1+3)/(2x+1)
=(3/2)/(2x+1)+1/2
So:
y-1/2=(3/4)/(x+1/2)
So: the above function can be expressed by the inverse scale function y = (3 / 4) / X
Move 1 / 2 units to the left and 1 / 2 units to the top

RELATED INFORMATIONS

1. How to translate the image of function y = 1 / X to get the image of y = (- 2x-1) / (x + 1)
2. Can the image with function y = 1 / 2x ^ 2 be moved up and down properly to make the new image pass through the point (4, - 2)? If you can, please tell the translation direction and distance, if not, please explain the reason
3. If the image of function f (x) = sin2x - √ 3cos2x is m, then ① The image m is symmetric with respect to the line x = 11 / 12 π ② The minimum positive period of function f (x) is 2 π ③ The image M can be obtained by translating the image y = 2sin2x π / 3 unit length to the right Which ones are right?
4. Point a (- 1, - 1) on the image of quadratic function y = (M & # 178; - 1) x & # 178; - 2 (m-2) x + 1, find the analytic expression of the quadratic function
5. If the image of the function y = 21-x + 3 is shifted one unit to the left and four units to the down, then it is symmetric about the X axis, the analytic expression of the function is___ ．
6. The image of the first-order function y = (2-3K) x + 4 is moved down by 2 units along the y-axis, and then left by 3 units along the x-axis. The analytic expression of the function is
7. By moving the image of the | 1-x | + 3 power of the function y = 2 one unit to the left and four units to the down, and then symmetrically about the X axis, the analytic expression of the function is obtained
8. It is known that the intersection points a of the image of the first-order function y = MX + m-2 and y = 2x-3 are on the y-axis, and their intersection points with the x-axis are respectively point B and point C. (1) find the value of M and the area of △ ABC; (2) find the coordinates of the point on the image of the first-order function y = MX + m-2 whose distance to the x-axis is equal to 2
9. What is the intersection coordinate (m, 2) of the image of the first-order function y = - x + A and the first-order function y = x + B
10. The abscissa of the intersection m of the image of a linear function and the line y = 2x + 1 is 2, and the ordinate of the intersection n of the image of a linear function and the line y = - x + 2 is 1:1 The abscissa of the intersection m of the image of a linear function and the line y = 2x + 1 is 2, and the ordinate of the intersection n of the image of a linear function and the line y = - x + 2 is 1 Find: (1) the analytic expression of this linear function (2) The area of the triangle formed by the image of this function and the coordinate axis
11. Which inverse scale function translation transform is used to get the image with function y = 2x-5 / x-3
12. The image of y = KX + B is obtained by translating y = 2x one unit to the right. What is the analytic value of the first-order function?
13. The image with inverse scale function y = 1 / X is shifted to a new function by the root of 2009 unit length, When the independent variable is 1,2,3,4,5. (positive integer), the new function values are Y1, Y2, Y3, where the maximum and minimum values are
14. If the positive scale function y = 4x and the inverse scale function y = K / x, can the image of these two functions have only one intersection? If so, ask for the coordinates of this intersection
15. Find the number of intersections between the image of the function y = SiNx, X belonging to (0,2 π) and the image of half of the function y One in two of Y is y = one in two
16. Let the intersection coordinates of the image with the function y = 1 / X and y = X-1 be (a, b), then the value of 1 / a minus 1 / B is (a, b)
17. If the function y = 3x-6 and the image y = - x + 4 intersect at a point, the coordinates of the intersection point are?
18. What is the coordinate of the intersection of the image of the function y = - 1 / 3x + 2 with the X axis? What is the coordinate of the intersection with the Y axis
19. If the image intersection coordinates of the function y = 3x + A and the function y = - (1,3) x + B are (- 3, - 4), then a=_____ ,b=_______ .
20. The number of intersections of the image of the function y = 2x and y = X2 is () A. 0B. 1C. 2D. 3