The characteristics of parent function vary from graph to graph. Let learners decipher the graph, table of values, equations, and any characteristics of those function families to use as a guide. The nicely organized page...

There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of...

What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and...

Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function. 

Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...

Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...

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....

One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...

Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...

Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.

It is transformational! With the beginning lesson on transformations, pupils learn about vertical and horizontal translations. Scholars see how to graph important points to show the translations and then to write the transformed graph in...

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.

How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

In this transformations worksheet, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...

With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.

Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...

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...

Students explore the concept of quadratic equations.  In this quadratic equations worksheet, students are given the parent graph y=x^2 and must determine the equations of two quadratic equations that have been shifted.

Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...