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Quadratics
stack of terms and definitions
Term | Definition |
---|---|
axis of symmetry | negative b over two a |
quadratic equations | are quadratic functions that are set equal to a value |
standard form | ax squared plus bx plus c equals 0 |
roots | solutions of a quadratic equation |
zeroes | method for finding the roots of a quadratic equation |
zero product property | for any real numbers a and b, if ab equals zero then either a =0, b=0 or both a and b equal 0 |
complex numbers | any number that can be written in the form a plus bi, where a and b are real numbers and i is the imaginary unit.a is called the real part and b is called the imaginary part |
completing the square | quadratic equations can be solved using the square root property by manipulating the equation until one side is a perfect square |
graphing | solves quadratic equations |
domain | what the solution will have |
x-intercept | where the graph crosses over the x-axis |
y-intercept | where the graph crosses over the y-axis |
square root property | find solutions using the square root method |
quadratic formula | can be used to solve any quadratic equation. the formula can be derived by solving the standard form of a quadratic equation |
discriminant | the value of the discriminant can be used to determine the number and type of roots of a quadratic equation |
difference of two squares | subtracting two square roots to find a solution |
graphing | using a calculator to graph and find the solution |
maximum | highest point |
minimum | lowest point |
parabola | graph of a formula of a quadratic |