![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Given that the image of quadratic function passes through (- 1,0), (5,0), the maximum value of function is 6, find the analytic expression of function How to solve this problem with undetermined coefficient method?
The point given in this paper is special, which is the intersection of function image and X axis. Therefore, the undetermined coefficient method adopts the intersection formula y = a (x-x1) (x-x2)
x1=-1,x2=5.
y=a(x+1)(x-5)
Because the vertex is on the axis of symmetry, and the axis of symmetry x = (x1 + x2) / 2 = 2
So substitute (2,6)
-9a=6,a=-2/3
So the expression is y = - 2 / 3 (x + 1) (X-5) = - 2x & # / 3 + 8x / 3 + 10 / 3
RELATED INFORMATIONS
- 1. Please fill the ten numbers 0 to 9 in the eight o in the figure below. Each o can only be filled with one different number, so that the chain can be established I use a capital o with a circle! It's all a circle! 2 + 5 = O + O
- 2. The number 0123456789 can't be reused in the following grid A few + a few = a few + a few = a few + a few = a few + a few = for example, 1 + 2 = 3 + 4 = 9 + = + = is there a question on this topic? I can't answer it. Please help me
- 3. Fill in the addition box with the ten numbers 0123456789 respectively () + () = () + () = () + () = () + () = () + () = () + () = () + () Thank you, brothers and sisters
- 4. Fill in the 10 numbers of 0123456789 in (), () + () = () + () = () + () = () + () = () + () = () + () 0123456789 each number can only be used once
- 5. How many six digits do the ten numbers 0-9 make up The numbers can be used repeatedly. These six digits are divided into two groups, with a space in the middle, and 0 can be used as the beginning. For example, (110 225) (011 325) (199 001) (558 009) (333 456) (708 555) (000 222) below What do you think of the answer on the first floor···
- 6. How many combinations can you choose from the ten numbers 0-9 to make up different six digits
- 7. How many can a six digit password be composed of ten numbers 0-9
- 8. Ten numbers from 0 to 9 make up all the data of a six digit number?
- 9. What's the possibility of a 6-digit password composed of 10 digits 0-9? How many combinations can you choose from the ten numbers 0-9 to make up different six digits If the first digit is not zero, how many combinations are there? Can you write these results out?
- 10. 7. A, B and C are different numbers from 0 to 9. A, B and C can be used to form six three digit numbers. If the sum of five numbers is 2234, then 7. X05a, B and C are different numbers from 0 to 9. A, B and C can be used to form six three digit numbers. If the sum of five numbers is 2234, what is the other number?
- 11. It is known that the bottom surface ABCD of a pyramid p-abcd is a square with side length 1, PD ⊥ bottom surface ABCD, and BD = 2. If the point G is on the line PA, and the volume of the pyramid g-pbc is one fourth, the length of the line PG is calculated
- 12. How to draw a line segment whose length is root seven
- 13. It is known that the function f (x) is an even function defined on R. when x ≥ 0, f (x) = - x ^ 2 + 4x It is known that the function f (x) is an even function defined on R. when x ≥ 0, f (x) = - x ^ 2 + 4x. Solution: the equation f (x) = k has four different real roots, and the value range of K is obtained
- 14. Sin (X-Y) cosy + cos (X-Y) siny > = 1, then the ranges of X and y are
- 15. Let the probability density function of two-dimensional random variable (x, y) be f (x, y) = {asin (x + y), 0
- 16. Given that the function f (x) = loga (under the root sign (x ^ 2 + m) + x) (a > 0 and a ≠ 1) is an odd function (1), judge the value of real number m (2) Monotonicity of F (x) and its proof
- 17. Xiaoming found a contradiction in solving the problem: when he solved the inequality - x > x, he divided both sides of the inequality by X to get - 1 > 1, which is obviously wrong,
- 18. Finding the common chord length of circle X & sup2; + Y & sup2; - 4 = 0 and circle X & sup2; + Y & sup2; - 4x + 4Y = 0
- 19. Given XX + yy-8x-6y + 25 = 0, try to find the value of 3x-2y
- 20. [high number] find the curved area fraction FF ∑ DS / (x ^ 2 + y ^ 2 + Z2), where ∑ is the cylindrical surface between the plane z = 0 and z = 1, x ^ 2 + y ^ 2 = 1 Find the surface fraction FF ∑ DS / (x ^ 2 + y ^ 2 + Z2), where ∑ is the cylindrical surface between the plane z = 0 and z = 1, x ^ 2 + y ^ 2 = 1 PS: add a small question 4x + 2yin (x + radical (1 + x ^ 2)) to find the partial derivative of X. how can the answer be 4 + (2Y) / radical (1 + x ^ 2)?