Students show comprehension of advanced mathematical concepts in Algebra I. The questions check understanding on quadratic and exponential functions.

This activity provides students an opportunity to discover the similarities involved in shifting the parent functions for absolute value, quadratic, cubic, radical, exponential, and logarithmic functions. Students will also be given the...

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....

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.

For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...

Students input a function in either y= of f(x)= form, and then the site from WyzAnt does the rest! A detailed graph is shown in less than a second. Students can change the window used to view the graph as well as whether to have...

A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.

During this task, students will realize that equivalent expressions produce the same graph. The lesson will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.

Gain an understanding of how to solve a quadratic equation using the quadratic formula by viewing examples and a video lesson. [2:23]

Gain an understanding of how to use factoring to solve a quadratic equation by viewing examples and a video lesson. [2:13]

Students explore the vertex form of the parabola and discover how the vertex, direction, and width of the parabola can be determined by studying the parameters. They predict the location of the vertex of a parabola expressed in vertex form.

Watch as the organ function grinder from the National Museum of Mathematics represents a quadratic function in a variety of ways. This video focuses on converting a verbal expression into an algebraic representation.

This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.

[Free Registration/Login may be required to access all resource tools.] A collection of resources for exploring word problems using function models.

Analyze the numerical and graphical representations of functions. This interactive exercise focuses comparing linear, quadratic, and exponential functions and their graphical representations after completing a table to calculate ordered...

Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions

[Free Registration/Login may be required to access all resource tools.] Learn how to factor quadratic expressions.

Determine the height of a bouncing ball by creating a quadratic function for each.

Students will explore linear & quadratic functions to determine how they model the relationship between air temperature & heat index. Once the models are determined students will make predictions about heat index when given a...

Students can use the TI-84 Plus family to find the minimum or maximum and the zeros of quadratic functions.

Examine how a giant sculpture at the National Museum of Mathematics represents the solutions to the equation y=x^2. This video focuses on the basics of graphing quadratic functions and the relationship between x and y values along the...

Compare various features between two functions, each represented in a different way. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Graph quadratic functions given in the standard form.