TMJC H2 Chapter 2 Transformation of Curves Learning Package 2024

Tampines Meridian Junior College 2024 H2 Mathematics (9758) Chapter 2 Transformation of Curves Learning Package Resources  Core Concept Notes  Discussion Questions  Extra Practice Questions SLS Resources  Recordings on Core Concepts  SLS Activity for Learning Experience (Exploring the three Basic Transformations)  Quick Concept Check

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Chapter 2 Transformation of Curves TMJC 2024 Page 1 H2 Mathematics (9758) Chapter 2 Transformation of Curves Core Concept Notes Success Criteria: Surface Learning Deep Learning Transfer Learning  Identify the replacement of variable involved in translation of a graph (i.e. ( )fy x a=+ & ( )fy x a=+ )  Draw the graph after applying translation (i.e. ( )fy x a=+ & ( )fy x a=+ ) and label the corresponding characteristics such as asymptotes, turning points and intersections with the axes after translation.  Identify the replacement of variable involved in stretching of a graph (i.e. ( )fyax= & f xy a =  )  Draw the graph after applying stretching (i.e. ( )fyax= & f xy a =  ) and label the corresponding characteristics after stretching.  Identify the replacement of variable involved in reflecting a graph either in the x-axis or y-axis (i.e. f ( )yx=− & f ( )yx=− ).  Draw the graph after applying reflection (i.e. f ( )yx=− & f ( )yx=− ). and label the corresponding characteristics after reflection.  Draw the graph of f ( )yx= and label the characteristics after transformation.  Identify the correct sequence of transformations for graphs with 2 or more transformations.  Draw the graph with 2 or more transformations and label the corresponding characteristics after transformations.  Describe a sequence of transformations given the original and resulting equations.  Determine the resulting equation of graph given a sequence of transformations.  Draw the graph of ( )fyx= and label the characteristics after transformation.  Draw the graph of 1 f ( )y x= and label the corresponding characteristics such as asymptotes, turning points and intersections with axes after transformation. Definition of Learning (John Hattie): The process of developing sufficient surface knowledge to then move to deeper understanding such that one can appropriately transfer this learning to new tasks and situations.

Chapter 2 Transformation of Curves TMJC 2024 Page 2 Basic Transformations §1 Translation Translating a graph in the direction of an axis is to move the graph in the direction of the axis, without changing its shape or size. 1.1 Translation in the y-direction Let 2f ( )y x x== . Using GC, sketch the graphs of f ( )y x a=+ for 2a= and 3a=− . How does the graph of 2f ( )y x x== change with different values of a? f ( )yx= Transformed equation f ( )y x a=+ Replacement Geometrical description of transformation 2yx= 2 2yx=+ Repla