Algebra 2 EOCA Fall Review (Day 2)

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you find the vertex of a parabola given by a quadratic function?

Back

The vertex of a parabola given by the quadratic function f(x) = ax² + bx + c can be found using the formula: Vertex = (-b/(2a), f(-b/(2a))).

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions (roots) of a quadratic equation ax² + bx + c = 0 and is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

The discriminant (D = b² - 4ac) indicates the nature of the roots: If D > 0, there are two distinct real roots; if D = 0, there is one real root (a repeated root); if D < 0, there are no real roots (two complex roots).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A ≥ 0.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). It is often represented as m.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

What methods can be used to solve a system of equations?

Back

Common methods to solve a system of equations include graphing, substitution, and elimination.