Pre-Algebra 2 Flashcards

Questions and Answers

What is the standard form of a quadratic function?

f(x)=a(x-p)(x-q)

f(x)=ax²

f(x)=ax²+bx+c (correct)

f(x)=a(x-h)²+k

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

x=-b/2a

What is the intercept form of a quadratic function?

f(x)=a(x-h)²+k

f(x)=ax²+bx+c

f(x)=p+q/2a

f(x)=a(x-p)(x-q) (correct)

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

x=(p+q)/2a Signup and view all the answers

What is the vertex form of a quadratic function?

f(x)=a(x-h)²+k Signup and view all the answers

What are the coordinates of the vertex in vertex form?

(h,k) Signup and view all the answers

Study Notes

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.

Description

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.