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Interactive Video
11th Grade - University
Mathematics, Physics, Science
Explore the fundamentals of function transformations with a focus on vertical shifts in mathematics and physics. Gain a deeper understanding of applying vertical shifts and graphing transformations while enhancing critical thinking skills in mathematical contexts.
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Interactive Video
11th Grade - University
Mathematics, Physics, Science
Investigate the application of various transformations to functions, emphasizing vertical and horizontal modifications, reflections, and shifts. Understand how different variables influence function transformations, and develop proficiency in applying these concepts to tackle complex mathematical problems effectively.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore the transformations of the cosine function, focusing on vertical and horizontal shifts, amplitude, reflection, and period calculation. Learn how to effectively graph these transformations and comprehend the effects of phase shifts, enhancing proficiency in graphing techniques and advanced mathematical transformations.
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Interactive Video
10th Grade - 12th Grade
Mathematics
Explore the translation of linear functions, concentrating on how horizontal and vertical shifts modify the basic structure of graphs. Develop skills in identifying and expressing these transformations using function notation, enabling visualization of the impact on function graphs and effective application of translation rules.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Examine the principles of function transformations, focusing on vertical stretching and shifts. Gain the ability to describe and apply transformations using function notation, thereby improving algebraic problem-solving skills.
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Interactive Video
11th Grade - University
Mathematics
Explore the transformations of parent functions, concentrating on horizontal and vertical shifts, reflections, and complex transformations. Enhance the capability to identify, apply, and analyze function transformations within various mathematical contexts.
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Interactive Video
11th Grade - University
Mathematics
Understand the comprehensive aspects of graph transformations, such as vertical and horizontal shifts, stretching, compressing, and reflecting parent functions. Develop skills in analyzing function characteristics, including domain, range, and symmetry, to effectively apply these transformations.
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Interactive Video
11th Grade - University
Mathematics
Explore the fascinating world of function transformations, including vertical and horizontal shifts, reflections, and stretches. Gain a deeper understanding of how these transformations affect function graphs, enabling the application of this knowledge to practical situations. Enhance mathematical expertise and analytical skills through the study of these transformative processes.
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Interactive Video
11th Grade - University
Mathematics
Explore the impacts of shifts, stretches, and reflections on the behavior and appearance of mathematical functions. Develop the capability to accurately graph these transformations and apply algebraic techniques, enhancing the understanding and application of fundamental mathematical concepts.
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Interactive Video
11th Grade - University
Mathematics
Explore function transformations, concentrating on vertical and horizontal adjustments in quadratic and square root functions. Gain a comprehensive understanding of transformation concepts, and develop the ability to identify and apply various function operations effectively, enhancing mathematical proficiency in these areas.
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Interactive Video
11th Grade - University
Mathematics, Information Technology (IT), Architecture, Physics, Science
Explore the intricacies of abstract vector spaces and their significance in linear algebra. Gain insights into vectors, functions, and transformations, leading to a deeper understanding of mathematical abstractions. Discover the practical applications of linear algebra principles across various fields of study.
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Interactive Video
11th Grade - University
Mathematics, Business, Physics, Science
Examine the principles of transforming quadratic functions, focusing on vertical and horizontal shifts as well as reflections across axes. Mastery of graphing these transformations and applying transformative rules to tackle problems will be developed, enhancing problem-solving skills.
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Interactive Video
9th Grade - 12th Grade
Mathematics
Explore exponential and logarithmic functions with a focus on understanding transformations and their impact on graphs and asymptotes. Develop the skills to identify and apply various transformations, refine graphing techniques, and construct new functions effectively.
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Interactive Video
10th Grade - 12th Grade
Mathematics
Explore linear functions through transformations, focusing on translations, reflections, and stretches. Develop skills in identifying and applying these transformations, understand function notation thoroughly, and learn the sequential steps involved in graphing transformations.
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10th Grade - 12th Grade
Graphing Transformations - Linear Functions
Interactive Video
10th Grade - 12th Grade
Mathematics
Examine the process of graphing and articulating multiple transformations of linear functions, including translations, reflections, stretches, and shrinks. Learners will gain proficiency in applying transformations effectively, understanding function notation, and accurately modeling transformations on graphs.
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10th Grade - 12th Grade
Transformation Techniques - Stretch and Shrink - Linear Functions
Interactive Video
10th Grade - 12th Grade
Mathematics
Explore the dynamic world of linear functions by focusing on the techniques of stretching and shrinking transformations. Develop the ability to identify and describe both vertical and horizontal transformations, understand scale factors, and apply these concepts effectively when graphing linear functions.
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Interactive Video
11th Grade - University
Mathematics
Explore the process of graphing sine functions with a focus on transformations such as amplitude and phase shift. Gain the ability to graph sine functions with a variety of transformations, enhancing your understanding of trigonometric concepts.
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Interactive Video
11th Grade - University
Mathematics
Master the concepts of graphical transformations with a focus on shifts and reflections of functions. Develop the ability to identify different types of transformations and understand their effects on graphs. These skills are essential for advanced function analysis in pre-calculus.
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Interactive Video
11th Grade - University
Mathematics
Explore the intricacies of multivariable calculus by examining nonlinear transformations and the concept of local linearity. Gain a deeper understanding of the operation of nonlinear functions and their linear characteristics when closely analyzed. Develop valuable skills applicable to advanced mathematical contexts.
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Interactive Video
11th Grade - University
Mathematics
Investigate function transformations, including reflections, shifts, and stretches, with an emphasis on changes in domain and range. Develop the ability to identify parent functions and apply transformations effectively to various mathematical functions, thereby enhancing understanding of algebraic concepts.
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