Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Practice these multiple-choice problems over features of quadratic functions.
Khan Academy
Khan Academy: Features of Quadratic Functions
practice these multiple-choice problems over features of quadratic functions.
Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola. Students...
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ('roots') of the function, and the vertex of the parabola.
CK-12 Foundation
Ck 12: Analysis: Graphs of Quadratic Functions
[Free Registration/Login may be required to access all resource tools.] Students review of quadratic function graphing methods. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ('roots') of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Texas Instruments
Texas Instruments: The Standard Form of a Quadratic Equation
In this activity, students explore the standard form of a quadratic equation, y = ax 2 + bx + c. They explore how the x-intercepts (zeros), y-intercept, and vertex are related to the graph of the standard form of a quadratic function.
Texas Instruments
Texas Instruments: Explore Graphs and Factors
Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 1: Find Minimum and Maximum
Students can use the TI-84 Plus family to find the minimum or maximum and the zeros of quadratic functions.
Texas Education Agency
Texas Gateway: Quadratics: Connecting Roots, Zeros, and X Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Elias Saab
Math Drills: Roots of Polynomial Functions Quiz
An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Help Algebra
Help algebra.com: Quadratic Equations
After defining a quadratic equation, this site shows you what the graphs of quadratics look like and how to use the graphs to determine the numbers of solutions to the quadratic. A brief explanation is included on how graphing...
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Texas Instruments
Texas Instruments: Connecting Factors and Zeros
Students will determine if a quadratic formula is factorable, then they will factor the equation, set each factor equal to 0, and solve for x.
Texas Instruments
Texas Instruments: Zeros of a Parabola
Students are introduced to an interesting property of parabolas and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
Texas Instruments
Texas Instruments: Factoring
A teaching activity that makes the equivalence and zeros connection between functions.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.