When x belongs to [0,3], the maximum value of y = minus x squared plus 4x minus 2 is

y=-x^2+4x-2
=-x^2+4x-4+2
=-(x-2)^2+2
The axis of symmetry x = 2 on [0,3], the coefficient of quadratic term - 1

RELATED INFORMATIONS

1. If the maximum value of the parabola y = - x2 + 4x + k is 3, then K=______ ．
2. Given 4x + 3Y = 2 (x > 0, Y > 0), then the maximum value of XY is equal to
3. How to do 4x squared (6-x squared) maximum
4. 4X - (the square of x) = 4
5. It is proved by matching method that no matter what the value of X is, the value of 12x-3x & # 178; - 13X = 0 is always less than 0
6. It is proved that the value of - 3x & # 178; + 12x + 6 is always less than 0 Topics such as questions, the process should be detailed
7. It is proved that: (1) the value of - (x square) + 6x-10 is always less than zero; (2) the value of 4 (x square) - 12x + 10 is always greater than zero
8. It is proved that the square of - x + 6x_ The constant value of 10 is less than zero
9. It is proved that the value of - x ^ 2 + 4x-5 is always less than zero
10. It is proved by collocation method that the value of - 4x + 27 is greater than zero and the value of - 6x & # 178; + 24x-25 is less than zero, It must be proved by matching method!
11. Known x
12. We know the maximum value of the function y = 4x / (x ^ 2 + 1) (x > 0). When we get the maximum value, what is x equal to
13. (2) 2 square of. 4x - 3xy = 2 square of 2Y - 2 (2 square of 2x - 5xy + 2 square of Y) (where x = 2, y = 3)
14. Given 2x-y = 2, then the value of the square of 5 (2x-y) - 4x + 2y-3 is?
15. (3) 2 square of. 4x - 3xy = 2 square of 2Y - 2 (2 square of 2x - 5xy + 2 square of Y) (where x = 2, y = 3)
16. If the square of x-4x + the square of Y + 2Y + 5 = 0, find the square of 2x-y
17. If the solution of the equation 5x-2m = - 4-x is between 2 and 10, what is the value range of the letter M
18. Solution equation: 4x + 9 / 8 = 9 / 8
19. 2.4x-x = 9.8
20. Solution equation: 147 × (4x-1) = 9.8