How to calculate the value range of mathematical quadratic function
The general formula of quadratic function is y = ax ^ 2 + BX + C, which is formulated as vertex formula
Y = a (x + B / 2a) ^ 2 + (4ac-b ^ 2) / (4a)
a> 0, opening upward Y > = + (4ac-b ^ 2) / (4a)
a
RELATED INFORMATIONS
- 1. Which coordinates do a, B and C of y = ax ^ 2 + BX + C in quadratic function image represent?
- 2. How does the value of H and K of quadratic function affect the image position
- 3. Given the quadratic function y = a (x + k) 2 + K, no matter what the value of K is, the vertex of the function image is always in the A. Y = X. B. y = - X. C. X axis. D. Y axis, friendly tips; do not answer, to the whole process Oh!
- 4. A point of intersection (6,0) between the image of quadratic function and x-axis, and the vertex is (4, - 8), a point of intersection (6,0) between the image of quadratic function and x-axis,
- 5. It is known that the vertex coordinates of the image of the quadratic function y = x2 + BX + C are (1, - 4), and the intersection point with the Y axis is a.1. Find the relationship of the quadratic function and the point a coordinates (3) If two non coincident points whose coordinates are (m, n) and (n, m) are on the image of the quadratic function, the value of M + n is obtained (4) If the quadratic function intersects with the negative half axis of X axis at point B, C is a point on the function image, D is a point on X axis, when the quadrilateral with a, B, C, D as the vertex is a parallelogram, please write the area of the parallelogram directly The key is the fourth question~
- 6. When x = 3, the minimum value of y = - 1, and the image is over (0,7), the analytic expression of quadratic function about X is obtained
- 7. When x = 3, the minimum value of y = - 1, and the image is over (0,7), the analytic expression of quadratic function of Y with respect to X is obtained
- 8. Given that the image of a quadratic function passes through a point (0,1), and when x = - 1, there is a minimum value of - 2, find the analytic expression of the quadratic function
- 9. The image passes through a (- 1,0), B (3,0), and the function has a minimum value of - 8. What is the analytic expression of this quadratic function?
- 10. Review and practice of the next quadratic function in mathematics of grade 9 published by Jiangsu Education Press
- 11. Quadratic function [value range] Given the quadratic function [y = x & sup2; - 4x-3], if - 1 ≤ x ≤ 6, then the value range of Y is_________ .
- 12. The value range of quadratic function Given the quadratic function y = x & # 178; + (M + 3) x + m + 2, then - 1
- 13. What does the quadratic function ABC decide
- 14. What is the relationship between the value of Y and the value range of X in quadratic function?
- 15. Quadratic function y = - 1 / 3 (x-1) ^ 2 + 3, the value range of the independent variable is___ The value range of Y is__
- 16. In the quadratic function, we know the value range of X and the value range of y to find a and B When - 2
- 17. Value range of quadratic function y Quadratic function y = 3 (X-6) ^ 2 + 9, y increases with the increase of X, then x should be greater than 6, or should be greater than or equal to 6
- 18. When a quadratic function gives you the value range of X, how to find the value range of Y The square of quadratic function y = x-2x-3 when 1 < x ≤ 3, the value range of Y. please explain in detail, I want to understand the method
- 19. The concept of quadratic function Definition: a function of shape is called a quadratic function of X General form: Conditions:
- 20. Basic concepts of quadratic function What a stands for, B stands for, C stands for! There are also related formulas!