It is known that the quadratic function f (x) has the maximum value f (2) = 5, and f (1) = 3

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• 1. It is known that the quadratic function FX satisfies the condition f (1 + x) = f (1-x); the maximum value of FX is 4, and the sum of squares of two of FX is 10
• 2. In the quadratic function y = - X & sup2; + (2m + 2) x - (M & sup2; + 4m-3), M is an integer not less than 0. Its image and X-axis intersect at two points a and B, and point a is on the left side of the origin, and point B is on the right side of the origin. (1) find the analytic formula of quadratic function. (2) the image of primary function y = KX + B crosses point a and the image of secondary function intersects at point C, and s △ ABC = 10, find the analytic formula of primary function
• 3. Given the quadratic function y = the square of X + (the square of MX) x-2m, find the M (1) that satisfies the condition. The known vertex is on the y-axis (2). The vertex is on the x-axis (3). The image passes through the origin If you want to learn how to do it yourself, you can bypass this problem
• 4. When x = 2, the maximum value of quadratic function is 3, and the point (0,1) at the intersection of image and y-axis is obtained
• 5. Given the intersection points (- 1,0) and (3,0) of the image and X of the quadratic function, and the intercept of the image on the Y axis is - 15, find its analytical formula
• 6. It is known that the intersection of image and x-axis of quadratic function has two points a (- 2,0) and B (3,0), and the function has a maximum value of 2 1) Find the analytic expression of quadratic function; 2) Let the image vertex of the quadratic function be p, and find the area of the triangle ABP It's urgent. I just don't know how to determine the a of intersection. As long as I know the first question, thank you
• 7. If the image vertex of quadratic function y = 4x ^ 2 + MX + 1 is on the X axis, then M equals? If its vertex is on the Y axis, then M equals?
• 8. If the image vertex of the quadratic function y = 4x ^ 2 + MX + 1 is on the X axis, then M =?, if its vertex is on the Y axis, then M =?
• 9. What is 132 degrees 42 minutes 18 seconds?
• 10. Calculate 5 times 3 to the fourth power, 24 times 3 to the third power + 63 times 3 to the second power
• 11. If the quadratic function f (x), when x = 1 / 2, the maximum value of F (x) is 25, the equation f (x) = 0 and the sum of two cubes is 19, then f (x)
• 12. Given the quadratic function y = ax ^ 2 + BX + C (a ≠ 0), when x = 1 / 2, the maximum value of this function is 25,
• 13. The quadratic function f (x) satisfies the following conditions: (1) f (1 + x) = f (1-x); (2) the maximum value of F (x) is 15; (3) the sum of two cubes of F (x) = 0 is 32. Find f (x); if x belongs to [- 1,4], find the maximum value of F (x); find the minimum value of F (x) in the interval [M, M + 2]
• 14. Given that the quadratic function f (x) of one variable satisfies the condition f (1 + x) = f (1-x), the maximum value of F (x) is 15, and the sum of two squares of F (x) = 0 is 17, find f (x)
• 15. It is known that the quadratic function f (x) satisfies the following conditions: (1) the axis of symmetry is x = 1; (2) the maximum value is 15; (3) the sum of two squares of F (x) = 0 is 7 For example, find the analytic expression of F (x)
• 16. The function y = f (x) is quadratic. If f (1 + x) = f (1-x), and the maximum value of F (x) is 15, the sum of two squares of F (x) = 0 is equal to 4
• 17. Given that the maximum value of quadratic function y = f (x) is equal to 4, and f (3) = (- 1) = 0 (1), find the analytic expression of F (x); (2) write the monotone interval of F (x)
• 18. Given that the maximum value of quadratic function y = f (x) is equal to 13, and f (3) = f (- 1) = 5, then the analytic expression of F (x) is f (x)=______ ．
• 19. Given that the maximum value of quadratic function y = f (x) is equal to 13, and F = (- 1) = 5, find the analytic expression of F (x)
• 20. It is known that the quadratic function y = x & # 178; - BX + B-2. Try to explain that there must be two intersections between the image of this function and the x-axis