1.1. Quadratic function is a function that can be written in f(x) = a (x – h)²+k(a ≠ 0).
2. Parabola
2.1. U-shaped curve is called a parabola.
3. Vertex of a parabola
3.1. The vertex of a parabola is the lowest or highest point of the parabola.
4. Maximum value
4.1. The maximum value is the y-value of the vertex when the parabola points downward
5. Completing the square
5.1. If a quadratic expression of the form x²+bx cannot model a square, you can add a term to make a perfect square trinomial. This is called completing the square.
6. Radical Function
6.1. A radical function contains a radical expression with the independent variable (usually x) in the radicand.
7. Binomial
7.1. A binomial is a quadratic expression with two terms.
8. Zero Product Property
8.1. If the product of two properties equals zero, at least one of the qualities equals zero. This is called the zero product property.
9. Axis of Symmetry
9.1. The axis of symmetry is the line through the vertex of a parabola that divides the parabola into two congruent halves
10. Standard Form
10.1. Standard form can be used to write a quadratic function;f(x)= a x² + bx + c, where a ≠ 0.
11. Minimum Value
11.1. The minimum value is the y-value of the vertex when the parabola points upwards
12. Zero Function
12.1. A zero 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.
13. Translations
13.1. Translations are the things you do to the parent function. They can be reflected across the y-axis or the x-axis, horizontally stretched/compressed, and vertically stretched/compressed.
14. Imaginary Unit
14.1. The imaginary unit or unit imaginary number is a solution to the quadratic equation x² + 1 = 0.
15. Square root property
15.1. To solve a quadratic equation, you can take the square root of both sides. This is called the square root property
16. Trinomial
16.1. A trinomial is a quadratic expression with three terms.