Urgent Teaching: given the square of y = x + 6x + 11, translate its image vector (→ a), get the image of function y = x square, find the vector (→ a) There should be a detailed process

RELATED INFORMATIONS

• 1. After translating the image of function y = x ^ 2 according to vector a, the image of function y = x ^ 2 + 6x + 11 is obtained, then vector a is
• 2. The image of the function f (x) = (2-x) / (x-1) is obtained by translating the image of the function f (x) = (1 + x) / X along the position vector a = (m, n), and finding m, n
• 3. After y = (2x-1) / (x + 1) is translated according to vector a = (1, - 2), the function analytic expression of the image is () A.y=3/x B.y=-3/x C.y=-2/x D.y=2/x
• 4. By translating the image of function y = lnx-2 into vector a = (negative 1,2), the image of function y = f (x) is obtained
• 5. Given the function f (x) = LNX + X2 - (B + radical 2 / 2) x, 1, if the function y = f (x) is an increasing function on [radical 2, + ∞], find the value range of real number B
• 6. D (arctanx ^ 2 + e ^ 2x + LNX + radical 3) = let y = x / LNX find y "=
• 7. What is the corresponding function of the new image after the image translation vector a = (π / 4,0) of the function y = cos (2 / 3x + π / 6)
• 8. After the image translation vector (- π / 6 1 / 2) of the function y = cos 2x, the function y =? A 1/2+cos(2x- π/3) B 1/2+cos(2x+π/3) c cos(2x+π/3)-1/2 D cos(2x+π/6)+1/2
• 9. If the image of a positive scale function passes through a point (- 1,2), then the image must pass through a point () A. （1，2）B. （-1，-2）C. （2，-1）D. （1，-2）
• 10. Given that y 3 is in direct proportion to x, and x = 1, y = 5, translate the image of the function so that it passes (2, - 1), and find the analytic expression of the line after translation
• 11. Parity of F (x) = loga (x + radical x ^ 2 + 1)
• 12. Let f (x) be a decreasing function on a set of real numbers. If a + B ≤ 0, then the following is true () A. f（a）+f（b）≤-[f（a）+f（b）]B. f（a）+f（b）≤f（-a）+f（-b）C. f（a）+f（b）≥f（-a）+f（-b）D. f（a）+f（b）≥-[f（a）+f（b）]
• 13. Let f (x) be a decreasing function on a set of real numbers. If a + B ≤ 0, then the following is true () A. f（a）+f（b）≤-[f（a）+f（b）]B. f（a）+f（b）≤f（-a）+f（-b）C. f（a）+f（b）≥f（-a）+f（-b）D. f（a）+f（b）≥-[f（a）+f（b）]
• 14. Given function f (x) = LNX - (B / x) (B is a real number) Find the extremum of function f (x) if B = - 1
• 15. The function x ^ 2-alnx (a belongs to R) is known. When x = 1, f (x) has the extremum (1) Finding the value of a (2) Find the number of intersections of F (x) and G (x) = - x ^ 2 + 2x + K (k belongs to R)
• 16. The function f (x) = x2-x + alnx is known to have the extremum at x = 32. (1) find the tangent equation of the curve y = f (x) at point (1,0). (2) find the monotone interval of the function
• 17. Function f (x) = x ^ 2 + 2 / x + alnx If the function is decreasing on [1, positive infinity], find the value range of A If the function increases on [1, positive infinity], find the value range of A
• 18. Given the function f (x) = x2 alnx, G (x) = e ^ X - [x] (1) Proof: e ^ a > A (2) When a > 2E, discuss the number of zeros of function f (x) in the interval (1, e ^ a)
• 19. Given the function f (x) = x2 + AlN & nbsp; X. (I) when a = - 2, find the extremum of function f (x); (II) if G (x) = f (x) + 2x is a monotone increasing function on [1, + ∞), find the value range of real number a
• 20. The known function f (x) = alnx + 1 / X (1) When a > 0, find the monotone interval and extremum of F (x) (2) When a > 0, for any x > 0, there is ax (2-lnx)