Quadratic fuctions

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Quadratic fuctions by Mind Map: Quadratic fuctions

1. a quadratic function- is a function that can be written as f(x)=a(x-h)2+(a=0)

2. axis of symmetry- is the line through the vertex of a parabola that divides the parabola into two congruent halves

3. standard form- of a quadratic function is f(x)=ax2+bx+c

4. zero of a function- is a value of the input x that makes the output f(x) equal zero. The zeros of a function are the x-intercepts.

5. Roots of an equation- are the values of the variable that make the equation true.

6. imaginary unit- square root of any root of any negative number

7. complex number-is a number that can be written in the form a +bi , where a and b are real numbers and i = -1

8. Quadratic model- is a quadratic that represents a real data set

9. Complex plane- is set of coordinate axes in which the horizontal axis represents real numbers and the vertical axis represents imaginary numbers

10. absolute value of a complex number- is the distance from the origin to the point in the complex plane and denoted

11. U shaped curve called a parabola

12. minimum value-when a parabola upward the y-value of the vertex

13. maximum value- when a parabola opens downward the y-value of the vertex

14. Discriminat- is part of the quadratic formula that you can use to determine the number of real roots of a quadratic equation

15. if a quadratic expression of the form x2+bx cannot model a square you can add a term to form a perfect square trinomial. this is called completing the square.