Quadratic function abc 10 formula
1.a determines whether the opening price is up or down, positive numbers are up and negative numbers are down.
2. The greater the absolute value of a, the narrower and smaller the parabola, and the wider the parabola.
3.c determine the intersection of parabola and y axis.
4.b Determine the position of the parabola symmetry axis, and the symmetry axis equation is x=-b/2a.
5. The distance from the point on the axis of symmetry to the parabola is equal, and the distance is | a | (b/2a) 2-c.
6. The vertex coordinates of parabola are (-b/2a, a (b/2a) 2-c).
7. The axis of a parabola is symmetrical with the vertex.
8. The tangent slope of parabola is 2ax+b.
9. The discriminant of parabola δ = b 2-4ac determines whether the equation has real roots, δ >; 0 has two real roots, δ = 0 has one real root, δ
10. The parabola takes the extreme value at the vertex.
How to apply the formula of quadratic function abc 10?
After mastering the formula of quadratic function abc 10, we can better understand and apply related knowledge points. Here are some steps:
1. Determine the values of quadratic functions A, B and C..
2. Judge the opening direction of parabola, that is, the positive and negative of A. ..
3. Determine the vertex coordinates of parabola, that is, vertex formula (-b/2a, a (b/2a) 2-c).
4. Determine the symmetrical axis position of parabola, that is, the symmetrical axis equation x=-b/2a.
5. Judge whether the parabola intersects with the Y axis, and the intersection point is (0, c).
6. Judge the extreme value of parabola at the vertex, that is, judge the positive and negative of A. ..
7. According to the value of discriminant δ = b 2-4ac, judge whether the equation has real roots.