Texas Education Agency
Texas Gateway: Transformations of Exponential and Logarithmic Functions
Given an exponential or logarithmic function, the student will describe the effects of parameter changes.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Transformations of Graphs
Find a quick, concise explanation of the transformations of graphs: translations, reflections and rotations. Examples are given and clearly explained for each transformation.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Relations and Functions
Hotmath provides eighteen practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.
Texas Education Agency
Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
Texas Education Agency
Texas Gateway:analyzing Effects of the Changes in M and B on the Graph of Y=mx+b
Given algebraic, graphical, or verbal representations of linear functions, the studnet will determine the effects on the graph of the parent function f(x) = x.
Paul Dawkins
Paul's Online Notes: Algebra: Transformations
Detailed math tutorial features notes and examples that take a look at vertical and horizontal shifts of graphs as well as reflections of graphs about the x and y-axis, often called transformations.
CK-12 Foundation
Ck 12: Interactive Algebra 1 for Ccss
This is a complete, full-year Algebra 1 course with interactivity included in every lesson. Some lessons include videos, and all include interactives and inline questions that offer instant, per-answer feedback. Every lesson also has...
Curated OER
Zona Land: Transform of F(x) = 2^x
A java applet that lets you manipulate the function f(x) = 2^x and see the effects on the graph.
Texas Instruments
Texas Instruments: Graphing Families of Quadratic Functions
Students can use the Transform app to explore families of quadratic functions. Generalization about the effect of a, b and c coefficients have on the shape and position of the graph in general form, and the effect of a, h, and k in...
Texas Instruments
Texas Instruments: Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...
Texas Instruments
Texas Instruments: Mc Dougal Littell Prealgebra: Graphing Quadratic Functions
Students will compare the graph of Y=x^2 with the graph of the given functions
Texas Instruments
Texas Instruments: Relation Between Graph of a Function and Graph of Derivative
In this Derive activity, students relate the behavior of the graph of an exponential function to the signs of its first two derivatives. They realize that if the signs of the first two derivatives over a given interval are known, a...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funcion Derivada
In Spanish. Learn with these interactive exercises the concept of the derivative of a function, calculate tangents to a curve and maximum and minimum values of functions.
Texas Instruments
Texas Instruments: Graph of Functions and Their Derivatives
In this activity, students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Analyzing Graphs
Students learn about the features of a graph. Topics include intercepts, extrema, points of inflection, and end behavior. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are...
Texas Education Agency
Texas Gateway: Transformations of Absolute Value Functions
Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values.
Texas Education Agency
Texas Gateway: Transformations of Square Root and Rational Functions
Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Sophia Learning
Sophia: Graphing Inverse Variation Functions
This learning tutorial about how to graph inverse variation functions combines videos, a PowerPoint presentation, and helpful hints. The videos demonstrate how to solve example problems and the PowerPoint presentation provides some key...
![Mc Graw Hill: Inverse Variation [Pdf] Unknown Type](https://content.lessonplanet.com/knovation/original/235491-518622850abe77ffcc84eb80000c4d28.jpg?1661439079 "Mc Graw Hill: Inverse Variation [Pdf] Unknown Type")
McGraw Hill
Mc Graw Hill: Inverse Variation [Pdf]
This is a page on inverse variation taken from a textbook. Contains a definition, examples, and practice problems with answers.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Basic Graphs
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Cool Math
Coolmath: Pre Calculus Graphs to Know and Love
A list and visuals of standard graphs from y = x to an absolute value.
Cool Math
Coolmath: Pre Calculus Shifting, Reflecting, Etc.
Description and examples of shifting and reflecting various graphs.
Illustrative Mathematics
Illustrative Mathematics: F tf.a, F bf.b.3 Exploring Sinusoidal Functions
In this task, students explore the effect that changing the parameters in a sinusoidal function has on the graph of the function. Aligns with F-TF.A and F-BF.B.3.
Illustrative Mathematics
Illustrative Mathematics: F if Graphs of Power Functions
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.