Translate the straight line y = - 2x + 1 to the left along the y-axis by 3 units, and the function formula of the straight line is obtained

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• 1. If the line y = 2x-6 moves 3 units to the left along the x-axis, and then 2 units to the up along the y-axis, the analytical expression of the line is
• 2. If the line L and the line x + Y-1 = 0 are symmetric about the Y axis, then the equation of the line L is______ ．
• 3. If the line L and the line x + Y-1 = 0 are symmetric about the Y axis, then the equation of the line L is______ ．
• 4. Linear equation of 2x-y-5 = 0 on X-axis symmetry Y-axis origin
• 5. The linear equation of y = 2x with respect to X-axis symmetry is______ ．
• 6. The intersection of the straight line y = 2x + 3 and the parabola y = x square is a and B. find the OAB area of the triangle
• 7. The line l1y = - 2x + m intersects with the line l2y = x + 1 at the point P (a, 2) to find the area of the triangle surrounded by L1, L2 and x-axis. I have found that the analytical expression of the line L1 is y = - 2x + 4
• 8. The analytical formula of the line y = 2x with respect to the x-axis symmetry is () the analytical formula of the line y = 2x + 4 with respect to the x-axis symmetry is ()
• 9. On the line y = X-2, the relation of the line after X-axis symmetry is
• 10. The analytic formula of the line y 27x 101 about X axis symmetry is
• 11. The analytic expression of the line obtained by translating the line y = - 2x + 3 down four units is? A y=-2x+7 B y=-2x-1 C y=-2x+11 D y=-2x-5
• 12. If the image of quadratic function y = x2 + MX + n has only one intersection (- 2,0) with X axis, then M=_____ ,n=_____ .
• 13. Given the first-order function y = MX - (m-2), this paper discusses the increase and decrease of the first-order function and the quadrant of the image according to the different values of M
• 14. If the image of the linear function y = (m-2) x + (n-1) does not pass through the second quadrant, then M (), n ()
• 15. If y = (M + 1) XM2 − m-3x + 1 is a quadratic function, then the value of M is______ ．
• 16. Please prove the monotonicity of exponential function Proof Halo, what is derivative? Is there another way?
• 17. Who can give a strict proof of monotonicity of exponential function? Can you be more detailed I just want to avoid using high numbers Let X1 be less than X2, that is, △ x = x2-x1 > 0 ∴△y＝a^X2-a^X1=a^X1*[a^(X2-X1)-1] When a ﹥ 1, as long as we can prove that a ^ (x2-x1) ﹥ 1, we can prove that the function is A > 1 is an increasing function. So the problem now becomes how to prove that when a > 1, there is a ^ (x2-x1) > 1. This seems to involve the monotonicity of power function. How to deal with power function? If only anyone knew (try to avoid Advanced Mathematics)
• 18. How to find the monotonicity of exponential function
• 19. Monotonicity proof of high school exponential function Y = 2 ^ x to prove monotonicity. I'm in grade one of senior high school. Can I use a simpler definition, such as the definition of monotonicity Solution 1: let X1 < X2, let C = x2-x1 > 0 f（x1）-f（x2）=2^x1-2^x2 =2^x1(1-x^c) ∵c＞0 1 ＜ x ^ C (how did you get this step? Isn't it proved by the definition of monotonicity?) Solution 2: let X1 < x2 and C = x2-x1 > 0 F (x1) divided by F (x2) = 2 ^ (x1-x2) ∵x1-x2＜0 2 ^ (x1-x2) < 2 ^ 0 = 1 The above two solutions will fall into a cycle, so we can find the positive solution of monotonicity definition,
• 20. Is {y = 6} ^ {x + 1} an exponential function