In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...

Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...

Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.

For this quadratic inequalities worksheet, students graph six quadratic inequalities. They solve two quadratic inequalities to identify one solution. In this quadratic inequalities worksheet, students draw the parabola and shade inside...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...

In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...

In this graphing worksheet, students identify the vertex, axis of symmetry, and direction of the opening of a parabola.  They graph given equations.  This four-page worksheet contains 18 problems.  Answers are provided on...

In this math worksheet, students find the solutions of the problems for quadratic equations. They graph the parabolas and find the missing sides of the triangles.

For this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.

In this Algebra I/Algebra II worksheet, students graph quadratic functions.  The five page worksheet contains a combination thirteen multiple choice and free response questions.  Answers are included. 

In this Algebra I/Algebra II worksheet, students solve quadratic equations by graphing and by taking the square root of both sides.  The two page worksheet contains a combination five multiple choice and free response...

In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.

For this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic.  The three page worksheet contains a combination of nine multiple choice and free...

In this algebra worksheet, learners calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations. There are 12...

For this algebra worksheet, 11th graders graph parabolas using the vertex and axis of symmetry. They apply parabolas to word problems as it applies to paths taken. There are 4 problems with an answer key.

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...

Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...

Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.

Piece by piece ... dismantling a function can highlight interesting patterns. The task asks learners to slice functions in sections with the same vertical change. They then recreate the graph with these slices positioned horizontally....