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8th Grade - 10th Grade
Square Root Functions - Transforms and Shifts - Algebraic Manipulations
Interactive Video
8th Grade - 10th Grade
Mathematics
Explore the transformations of square root functions with a focus on reflections, horizontal shifts, and vertical shifts. Gain a clear understanding of how these transformations affect function behavior and develop the ability to apply these concepts effectively to solve algebraic problems.
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8th Grade - 12th Grade
Transformation Techniques - Linear Function Modifications - Algebra
Interactive Video
8th Grade - 12th Grade
Mathematics
Investigating the effects of vertical and horizontal transformations on linear functions, learners examine how multiplying inputs and outputs by constants influences graph shapes and intercepts. This process enhances skills in graph interpretation and algebraic manipulation, leading to a deeper understanding of the modifications caused by these transformations.
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9th Grade - 10th Grade
Graphing and Transforming Cube Root Functions
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9th Grade - 10th Grade
Mathematics
Explore graphing and transformation techniques for cube root functions, focusing on modifying their shape, position, and orientation. Develop skills in applying transformations to visualize changes in functions and enhance understanding of the relationships between functions and their inverses.
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8th Grade - 12th Grade
Mastering Absolute Value - Transformations & Graphing Techniques - Mathematics Concepts
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore function transformations with a focus on absolute value, emphasizing the impact of reflections and stretches on graphs. Acquire skills to identify transformations and graph absolute values, enhancing understanding of vertex positions and symmetry in mathematical functions.
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9th Grade - 10th Grade
Input Transformation Effects - Graph Transformations - Functions
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9th Grade - 10th Grade
Mathematics
Explore the effects of input transformations on functions by focusing on graph changes when the input is multiplied by factors such as 2. Gain a deeper understanding of how transformations alter the shape and position of a graph, enhancing the ability to analyze and interpret mathematical graphs effectively.
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8th Grade - 12th Grade
Transforming and Analyzing Exponential Functions - Exponential Transformations - Graphing Techniques
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the transformations and graphical shifts of exponential functions by examining how different constants and coefficients influence changes. Gain insights into graph transformations by predicting the outcomes of various mathematical operations on exponential graphs.
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9th Grade - 12th Grade
Transformations in Trigonometric Functions - Function Properties - Trigonometry
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9th Grade - 12th Grade
Mathematics
Explore transformations in trigonometric functions by determining periods, shifts, and amplitude. Gain skills in identifying and analyzing the properties of various trigonometric functions to enhance understanding of mathematical function transformations.
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10th Grade - 12th Grade
Transformations - Absolute Value Functions - Graphing
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10th Grade - 12th Grade
Mathematics
Gain a thorough understanding of the shapes and transformations of absolute value functions by graphing and analyzing parameters. Focus on identifying key transformations, including reflections, translations, and stretches, to build a robust skill set in graphing and manipulating functions.
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8th Grade - 12th Grade
Function Transformations - Graph Shifts and Scaling - Graphing Techniques
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8th Grade - 12th Grade
Mathematics
Explore the complex processes involved in graph transformations, with a particular focus on shifts and scaling of functions. Gain an understanding of graph behavior and apply transformations to effectively grasp function graphing. Develop skills in analyzing and interpreting various graph changes to enhance comprehension in mathematics.
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11th Grade - University
Function Transformation Verification - Table of Values - Quadratic Functions
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11th Grade - University
Mathematics
Focus on the transformation of quadratic functions by confirming changes via tables of values and graphical interpretations. Visualize transformations and connect algebraic inputs with graphical outputs to enhance understanding of function behavior.
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10th Grade - 12th Grade
Linear Function Transformations - Stretch and Shrink - Linear Functions
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10th Grade - 12th Grade
Mathematics
Explore the transformations of linear functions, with a focus on stretching and shrinking along the axes. Understand how these transformations impact the graph, and enhance your skills in graphing linear functions accurately and effectively.
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8th Grade - 12th Grade
Graphing Absolute Value Functions - Understanding Graph Transformations - Algebra
Interactive Video
8th Grade - 12th Grade
Mathematics
Focus on graphing absolute value functions and examine how transformations impact the appearance of the graphs. Identify and analyze vertex positions, determine domain and range, and explore graph modifications to enhance understanding of algebraic transformations.
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6th Grade - 10th Grade
Transformations and Functions - Manipulating Graphs - Algebraic Expressions
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6th Grade - 10th Grade
Mathematics
Focus on transformations and their effects on linear and absolute value functions. Develop an understanding of shifts, reflections, compressions, and stretches, while enhancing skills in predicting how these transformations alter graphs.
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8th Grade - 12th Grade
Transforming Linear Functions - Function Modifications - Graphing Techniques
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore the transformation of linear functions through shifts, reflections, and dilations, using f(x) = x + 2 as a base model. Emphasize understanding how to alter linear graphs and predict modifications in slope and y-intercepts as a result of these transformations. Gain skills in applying these concepts and visualizing the effects on the graph of a linear equation.
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8th Grade - 12th Grade
Graphing - Transformations - Quadratic Functions
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8th Grade - 12th Grade
Mathematics
Examine the principles underlying the graphing of quadratic functions through a study of transformations. Focus on understanding how shifts, reflections, and shape changes alter the graph's appearance. Analyze the impact of these transformations on the properties of quadratic functions, gaining insights into how to effectively manipulate and interpret these mathematical expressions.
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11th Grade - University
Understanding Transformations - Reciprocal Functions - Functions and Graphs
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11th Grade - University
Mathematics, Architecture
Explore the transformations of reciprocal functions, focusing on identifying the domain and range. Gain the ability to recognize how different parameters influence the graph's position and shape, thereby enhancing your understanding of function transformations.
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8th Grade - 12th Grade
Function Graph Modifications - Horizontal & Vertical Stretches - Transformations in Graphs
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8th Grade - 12th Grade
Mathematics
Explore the concepts of horizontal and vertical stretches within function graphs by examining how variations in parameters 'A' and 'B' influence the shape of the graph. This study provides insights into the transformation of function graphs and the identification of parent functions, enhancing skills for deeper mathematical analysis.
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8th Grade - 12th Grade
Understanding Function Transformations - Graphing Techniques - Mathematical Functions
Interactive Video
8th Grade - 12th Grade
Mathematics
Understand graph function transformations, focusing on shifts, reflections, and stretches. Master the sequence of these transformations and apply them to different functions to enhance problem-solving and analytical skills in mathematics.
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8th Grade - 10th Grade
Graphing and Transformations - Square Root Functions - Mathematical Function Analysis
Interactive Video
8th Grade - 10th Grade
Mathematics
Explore the process of understanding and applying transformations to square root functions. Learners will be able to determine the equations of transformed square root functions, graph these functions skillfully, and verify transformations using graphing calculators.
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8th Grade - 12th Grade
Exponential Functions - Transformations - Algebra Concepts
Interactive Video
8th Grade - 12th Grade
Mathematics
Explore exponential functions and transformations to understand how different values influence graph behaviors. Gain skills in identifying and applying vertical stretches, compressions, and other transformations, enhancing algebraic problem-solving abilities.
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