How to translate the image of function y = x & sup2; + 6x + 11 to get y = x & sup2; Process····································
y=x²+6x+11=x²+6x+9+2=(x+3)²+2
So the original equation is shifted 3 units to the positive direction of X axis and 2 units to the negative direction of Y axis
RELATED INFORMATIONS
- 1. 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)
- 2. 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?
- 3. 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
- 4. 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=
- 5. 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
- 6. 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
- 7. 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)
- 8. Translate the circle x ^ 2 + y ^ 2 = 1 according to the vector a to get the circle (x + 1) ^ 2 + (Y-2) ^ 2 = 1, then the coordinate of a is
- 9. If the circle x ^ 2 + y ^ 2 = 1 is translated along the positive direction of X axis and tangent to the line L: X-Y = 0, then the translation vector a is equal to () A.(1,0) B. (radical 2,0) C.(2,0) D. (double root 2,0)
- 10. If the circle (x-3) ^ 2 + (y + 2) ^ 2 = 1 is translated according to the vector a = (0, n) and tangent to the straight line y = x + 1, then n=
- 11. 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
- 12. 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?
- 13. 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
- 14. 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?
- 15. What are the common characteristics of rotation and translation
- 16. What's the meaning of no turning
- 17. What's the relationship between one revolution of the moon and one revolution of the moon around the earth Hurry up and wait online
- 18. In a week, the rotation angle a (degrees) and the rotation time t (minutes) are the same Is this proportional? Write the analytic expression of the function Explain why the proportion is positive
- 19. Turret rotation time: 0.1 sec / division?
- 20. What is the relationship between people's daily living time in one day and the earth's rotation? Is it the accurate time for the earth to rotate for one cycle