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Algebra 1 EOC Flashcards
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Quadratic Function (y=ax²)
A function where the highest power of x is 2, forming a parabola.
Domain of a Quadratic Function
All real numbers (R).
Range of a Quadratic Function
The set of all possible y-values of the function.
Axis of Symmetry (AOS)
A vertical line that divides the parabola into two symmetrical halves. Formula: x = -b/2a (for y= ax² + bx + c).
Vertex
The point where the parabola changes direction (minimum or maximum point).
Solve By Graphing
Finding the x-intercepts (zeros) of the quadratic function.
Zero-Product Property
If ab = 0, then a = 0 or b = 0. Used to solve factored quadratic equations.
Solve by Factoring
Expressing a quadratic equation as a product of two binomials and using the zero-product property to find the solutions.
Quadratic Formula
x = (-b ± √(b²-4ac)) / 2a
Discriminant
b² - 4ac (determines the number of real solutions of a quadratic equation).
Exponential Function
f(x) = a* (where 'a' is a constant base).
Exponential Growth
Occurs when the base (a) is greater than 1.
Exponential Decay
Occurs when the base (a) is between 0 and 1 (0 < a < 1).
Polynomial
An expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Degree of a Polynomial
The highest power of the variable in the polynomial.
Combining Like Terms
Adding or subtracting terms with the same variable and exponent.
Systems of Equations
A set of two or more equations with the same variables.
Linear Equations
Forms a straight line when graphed, can have 0-2 solutions.
Solution of a System
The point(s) where the graphs of the equations intersect.
Solving Systems by Substition
Solving one equation for one variable and then substituting that expression into the other equation.
Solving Systems by Elimination
Adding or subtracting equations to eliminate one variable.
Linear Inequality Graphing
Graphing inequalities on straight lines and shading the region that contains the solutions.
Solid Line (Inequality)
Used when the inequality includes ≤ or ≥.
Dashed Line (Inequality)
Used when the inequality includes < or >.
Two-Way Tables
A tool used to visualize data in two categories.
Cell (Two-Way Table)
One piece of data within the table.
Relative Frequency Tables
Shows data in decimal or percentage form relative to the total.