Quadratic Functions

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Quadratic Functions by Mind Map: Quadratic Functions

1. Quadratic Function - a function that can be written in the form f(x)=a(x-h)² +k(a≠0), variable is always squared

2. Parabola- U-shaped curve on a graph

3. Vertex of Parabola- the highest/lowest point of a parabola

4. Vertex form - f(x)=a(x-h)² +k where a, h, and k are constants

5. Axis of symmetry - the line through the vertex of a parabola that divides it into 2 congruent halves

6. Standard form - f(x)=ax²+bx+c where a≠0

7. Minimum value - the y-value of the vertex when the parabola opens upward

8. Maximum value - the y-value of the vertex when the parabola opens downward

9. Zero of a function - the value of the input x that makes the output f(x)=0

10. Root of an equation - the values of the variable that make the equation true

11. Binomial - quadratic functions with 2 terms terms, 3x+5

12. Trinomial - quadratic functions with 3 terms, 5x² − 2x − 15

13. Imaginary unit - the unit in the imaginary number system √-1

14. Imaginary number - the square root of a negative number written in the for bi, where b is a real number and i in an imaginary unit, √-1

15. Completing the square - process used to form a perfect-square trinomial