Algebra 2 TN EOC Review Assignment (Fall 2024)

Front

What is a quadratic function?

Back

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

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (-b/2a, f(-b/2a)).

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set f(x) = 0 and solve the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

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

Front

What does the discriminant tell you about 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; if D < 0, there are no real roots.

Front

What is a linear function?

Back

A linear function is a polynomial function of degree 1, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) of a line through two points (x₁, y₁) and (x₂, y₂) is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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 are the points where the equations intersect.

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.