Want to ask a high school mathematics about "the maximum value problem of quadratic function on closed interval" The problem is: find the maximum value of function y = x square - 2aX - 1 on [0,2] guys. I'm not good at math. I can't draw inferences from one instance~ | Math enthusiast | Mathematical art

Want to ask a high school mathematics about "the maximum value problem of quadratic function on closed interval" The problem is: find the maximum value of function y = x square - 2aX - 1 on [0,2] guys. I'm not good at math. I can't draw inferences from one instance~

y=(x-a)^2-1-a^2
The opening is upward, and the axis of symmetry is x = a
Classification discussion:
1) If the axis of symmetry is on the left side of the interval [0,2], i.e. A2, then ymax = y (0) = - 1, yman = y (2) = 3-4A
3) The axis of symmetry is in the interval [0,1], that is, 0=

RELATED INFORMATIONS

1. The quadratic function of higher one, the method to find the range of Y and the maximum value Y = x + √ 1-x, the value range of Y Y = x ^ 2 + √ 1-x ^ 2, find the value range of Y In y = 1 / √ ax ^ 2-ax + 1, X can take all real numbers and find the value range of A Let y = 4x ^ 2-4ax + A ^ 2-2a + 2, find the minimum value of y when x is less than or equal to 2 and greater than or equal to 0
2. The intersection of the image of the quadratic function y = - x ^ 2 / 2 + X + 4 and the X axis is a and B from left to right, the intersection with the Y axis is C, and the vertex is d 1. Finding the area of quadrilateral abdc 2. Find a point d 'on the parabola in the first quadrant to maximize the area of quad abd'c
3. It is known that the coefficients a, B and C of quadratic function y = ax ^ + BX + C are integers, and when x = 19 or x = 99, y = 1999, | C|
4. The opening direction and shape of quadratic function image and parabola y = - 2x ^ 2 are the same, x = 1, and the minimum value is - 1
5. What is the a value of quadratic function with the same image shape as function y = - x?
6. In quadratic function, if two parabolas have the same shape, is a the same, or is the absolute value of a the same? In other words, the same shape, the same opening direction?
7. Properties and applications of quadratic function
8. Is the same shape of two quadratic functions the same a value?
9. What can be explained by the same shape of quadratic function image The shape of y = ax ^ 2 + BX + C is the same as that of y = - x ^ 2-7x + 12, the symmetry axis is x = 1, and the distance from the vertex to the X axis is the root sign 3
10. Image shape of quadratic function What does the shape of the image of quadratic function have to do with? y=ax^2+bx+c
11. The maximum value of quadratic function in closed interval Y = T ^ 2-2t + 3 - 1 / 4 ≤ t ≤ 2 find the maximum and minimum of Y
12. On the maximum value estimation of quadratic function on closed interval
13. A problem on the maximum value of closed interval of quadratic function I know that there are three possibilities, but when a ≤ 1 ≤ B, how can I judge whether to take a or B as the minimum? I see a solution (3) a
14. The application of quadratic function in interval problem It is known that f (x) = - 3x & # 178; + 6x + 1 1. When x belongs to R, find the range of F (x) 2. When x belongs to [- 2.0], find the range of F (x) 3. If x belongs to [0.3], find the range of F (x)
15. A problem of quadratic function in junior high school Yingxian bridge, rebuilt in 1844, is located on the ancient trunk road between Zhejiang and Fujian. According to taoshuwu village, 15km southeast of Xinchang County, the bridge is a single hole parabolic stone arch bridge with smooth arch. The span and height of the arch are known to be 15.6m and 7.7m respectively. An appropriate plane rectangular coordinate system is established and the quadratic function relationship corresponding to the parabola is obtained
16. Give a typical example of classification discussion of quadratic function in Senior High School To solve the process This is too simple, isn't it~~~~~~
17. It is known that the quadratic function f (x) satisfies the conditions f (0) = 1 and f (x + 1) - f (x) = 2x. (1) find f (x); (2) find the maximum and minimum of F (x) in the interval [- 1, 1]
18. Quadratic function in Senior High School It is known that the parabola y = (m-1) x ^ 2 + (m-2) X-1, (m ∈ R) (1) If the sum of the reciprocal squares of the two unequal real roots of the equation (m-1) x ^ 2 + (m-2) X-1 = 0 is greater than 2, the value range of M is obtained (2) If the parabola intersects the x-axis at points a and B, intersects the y-axis at point C, and the area of △ ABC is equal to 2, try to find the value of M
19. Junior high school English exercises To be comprehensive. Cloze and so on. It's better to pay attention to. The more questions, the more rewards
20. Exercises of attributive clauses in junior middle school Children on the third day of junior high school will soon learn attributive clauses, before in the cram school, but also some unfamiliar, want to do some exercises in this area, please recommend some, thank you