Pre-Algebra 2 Flashcards

What is the standard form of a quadratic function?

What is the formula to find the x-coordinate of the vertex in standard form?

What is the intercept form of a quadratic function?

What is the formula to find the x-coordinate of the vertex in intercept form?

What is the vertex form of a quadratic function?

What are the coordinates of the vertex in vertex form?

Quadratic Functions and Forms

Standard Form: Represented as f(x) = ax² + bx + c, where a, b, and c are constants.
Vertex Calculation: The x-coordinate of the vertex is found using the formula x = -b/(2a).
General Features: The vertex indicates the highest or lowest point of the parabola, depending on the direction it opens.

Intercept Form

Intercept Form: Expressed as f(x) = a(x - p)(x - q), where p and q are the x-intercepts of the graph.
Vertex Calculation: The x-coordinate of the vertex can be calculated using x = (p + q)/(2a).
Significance of p and q: The x-intercepts (p and q) are where the graph intersects the x-axis, indicating roots of the function.

Vertex Form

Vertex Form: Defined as f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
Direct Vertex Identification: The vertex is directly given by the coordinates (h, k), simplifying the identification process.
Parabola Characteristics: This form is useful for easily determining the vertex and analyzing the transformation of the standard parabola.

Test your knowledge with these flashcards on Pre-Algebra 2 concepts. This quiz covers different forms of quadratic functions, including standard, intercept, and vertex forms. Familiarize yourself with important equations and definitions to prepare for your algebra exams.