Quadratic function
A function that can be written in the form f(x) = ax^2+bx+c, where a,b,and c are real numbers and a ≠ 0
Parabola
the graph of a quadratic function
Vertex form of a quadratic function
y = a(x-h)^2 + k
Intercept form of a quadratic function
y = a(x-p)(x-q)
Maximum Value
the y-coordinate of the vertex if a < 0 for y = ax^2 + bx + c. The graph would face downwards
Minimum Value
the y-coordinate of the vertex if a > 0 for y = ax^2 + bx + c. The graph would face upwards
Vertex
The lowest or highest point on a parabola
Axis of symmetry
the line passing through the vertex that divides the parabola into 2 symmetric parts
Root of an equation
A solution of an equation.
Zero of a function
An x-intercept of the graph of a function.
imaginary unit i
a nonreal number equal to the square root of -1. Can be used to write the square root of any number
Standard form of a complex number
a+bi
Pure imaginary number
a+bi, where a = 0 and b ≠ 0
complex conjugates
Two complex numbers of the form a+bi and a-bi
Absolute value of a complex number
a nonnegative real number defined as |z|=(square root)a^2+b^2
discriminant
is the expression under the radical sign in the quadratic formula.
Quadratic Inequality in two variables
An inequality that can be written in one of the following forms: y < ax2 + bx + c, y > ax2 + bx + c, y ≤ ax2 + bx + c , y ≥ ax2 + bx + c , or y ≠ ax2 + bx + c, where a, b, and c are real numbers and a ≠ 0
Quadratic Inequality in one variable
An inequality that can be written in one of the following forms: 0 < ax2 + bx + c, 0 > ax2 + bx + c, 0 ≤ ax2 + bx + c , 0 ≥ ax2 + bx + c , or y ≠ ax2 + bx + c, where a, b, and c are real numbers and a ≠ 0
Radical
a expression made up of: -a radical sign
-a radicand
radicand
The number or expression inside a radical symbol
Rationalizing the denominator
A method used to eliminate radicals from the denominator of a fraction.
https://www.mathsisfun.com/algebra/rationalize-denominator.html
Conjugates
expressions that are the same but have opposite signs
