Quadratic Functions

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Quadratic Functions by Mind Map: Quadratic Functions

1. 13. Quadratic: An equation where the highest exponent of the variable (usually "x") is a square (2).

2. 1. Axis of symmetry-The line through the vertex of a parabola into two congruent halves. Example: y = x2 – 4x + 2

3. 12. Maximum value- When a parabola opens upward. Example:

4. 11. Quadratic Function-A Function that can be written in a form of f(x)=a(x-h)^2+kk(a=0)

5. 10. Parabola: A v shaped curve. Example: V

6. 9. Vertex: Where a, h and k are constant. Example: f(x)=a(x-h)^2+k

7. 8. Linear equation: An equation whose graph is a line.

8. 7. Transformation: A change in a functions rule or its graph

9. 14. Conjugate: is formed by changing the sign between two terms in a binomial.

10. 15. Vertex form: f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.

11. 2. Standard form-A simplified version of a long equation. Example: f(x) = a(x - h)2 + k

12. 3. Minimum value: When a parabola opens upward. Example:f(x)2x^2+5x+4

13. 4. Vertex of a parabola: The lowest or highest point of a parabola. Example: The very top or bottom.

14. 5. Solution set: The group of values that make an equation or inequality true.

15. 6. X-Intercept: The x-coordinate of a point where the graph crosses the x-axis.