What is a quadratic function and how can I understand it?

Generally, there is the following relationship between the independent variable x and the dependent variable y: y = ax & # 178; + BX + C (a ≠ 0, a, B, C are real constants), then y is called the quadratic function of X

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1. Definition of quadratic function of one variable?
2. What are the meanings of a, B and C of quadratic functions of one variable? For example, a represents the opening size and function image opening direction, B, C represents what?
3. The concept of quadratic function
4. Basic concepts of quadratic function What a stands for, B stands for, C stands for! There are also related formulas!
5. The concept of quadratic function Definition: a function of shape is called a quadratic function of X General form: Conditions:
6. 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
7. 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
8. In the quadratic function, we know the value range of X and the value range of y to find a and B When - 2
9. Quadratic function y = - 1 / 3 (x-1) ^ 2 + 3, the value range of the independent variable is___ The value range of Y is__
10. What is the relationship between the value of Y and the value range of X in quadratic function?
11. How to understand the image of quadratic function? I don't know how to draw the image of quadratic function, where are a, B, C in the image? Where are B / - 2A and 4ac-b ^ 2 / 4A in the function image
12. Quadratic function. 1. The quadratic function y = AX2 + BX + C passes through (1, - 1) (2,1) (- 1,1) to find the analytic expression of the quadratic function 2. The vertex of the parabola y = X2 - (a + 2) x + 9 is on the x-axis 3. Given that the image of quadratic function intersects with X axis at two points a (- 2,0) B (3, O), and the maximum value of the function is 2, find the analytic expression of quadratic function
13. Does the vertex formula of quadratic function not only know the vertex, but also know a coordinate?
14. How to understand quadratic function?
15. Write an analytic expression of quadratic function, so that its image satisfies two conditions The vertex is on the line y equals - X Without going through the origin, the analytic expression of this quadratic function can be?
16. How to write image 2 of quadratic function
17. If the image of a quadratic function passes through the point (1,0) and the coefficient of the quadratic term of the analytic expression of the function is 1, then the analytic expression of the quadratic function is? (write one)
18. Write out the coefficient of quadratic term, coefficient of first term and constant term of quadratic function Coefficient of quadratic term and constant term of coefficient of primary term in function expression y=x2-2x-1 y=3x2+5 y=3x-1/2X2 y=2(x-1)(x+2) Y = (x-radical 2) 2-1
19. What is the coefficient of quadratic term, what is the coefficient of primary term and what is the constant term? Please explain it with a quadratic function
20. Judge whether the following functions are quadratic functions. If they are quadratic functions, please state their quadratic coefficients, primary coefficients and constant terms （1）y=2x²-3；（2）y=3x-1；（3）y=（2x-1）（1-x）；（4）y=1/x²+1.