click below
click below
Normal Size Small Size show me how
Quadratics
Quadratic Formula | -b(+)(-)square root of b^2 + 4(a)(c) divided by 2a |
Discriminant | b^2-4ac |
Completing the Square | All quadratic equations can be solved by using the Square Root Property by manipulating the equation until one side is a perfect square |
Imaginary Unit i | defined to be: i^2=-1 |
Pure Imaginary Number | square roots of negative real numbers |
Square Root Property | the sum of squares can be factored over the complex numbers |
Complex Number | terms are not like terms and cannot be combined |
Complex Conjugates | two complex numbers in the form of a+bi and a-bi |
Factored Form | 0=a(x-p)(x-q) |
FOIL Method | use this method to write a quadratic equation that is in factored form, in standard form; uses the distributive property |
Quadratic Equation | equations that are set equal to a value |
Standard Form | ax^2+bx+c=0 |
Roots | Solutions of a quadratic equation |
Zeros | the zeros of a function are the x-intercepts of the graph |
Quadratic Function | the greatest exponent is 2 |
Quadratic Term | ax^2 |
Linear Term | bx |
Constant Term | c |
Parabola | the graph of a quadratic function |
Axis of Symmetry | a line through the graph of a parabola that divides the graph into two congruent halves |
Vertex | the axis of symmetry will intersect a parabola at only one point |
Maximum Value | greatest possible value the function can reach |
Minimum Value | lowest possible value the function can reach |