Graphing Quadratic Functions Teacher Resources

Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...

This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...

Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...

In this quadratic equation, students find the discriminant using the formula given and identify how many solutions a quadratic function will have. There are 3 problems with answers and examples.

Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix.  Students interpret the equation for a...

Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.

Students compare transformations of a quadratic function on a graph and determine equations of a quadratic functions based on a reflection. They graph a transformation of a function based on reflections. They etermine if a function is...

Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...

Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...

High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.

Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.

Learners graph quadratic equations on paper and check their results on the graphing calculator. They predict the direction of the graph and the vertex point. Students use the vertex, axis of symmetry and knowledge of which direction the...

Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...

Students investigate parabolas and their equations.  For this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator.  Students find the axis of symmetry of a parabola. ...

Pupils use their knowledge of the vertex form of a quadratic equation to graph parabolas using a graphing calculator, given a specific move to make. this lesson may be used as a review or as extra practice, in groups or individually.

Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...

In this algebra worksheet, learners solve quadratic equations. They factor and graph their solutions. There are 5 questions with an answer key.

Students solve quadratic equation by graphing. In this algebra lesson, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.

Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...

Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...