Transformation Of Graph Dse Exercise Here

often have the opposite effect of what you might expect. For example, moves the graph in the direction (left), and the graph horizontally by half. Order of Operations

(a) Vertical stretch by factor 3. (b) Horizontal compression by factor ( \frac12 ) (i.e., ( a=2 )). (c) Reflection in the , then shift up by 1 unit. transformation of graph dse exercise

To solve DSE Paper 1 (Conventional) and Paper 2 (MC) questions quickly, categorize every transformation into one of two groups Outside the bracket ( transformations. They affect the -coordinates and are (they do exactly what you expect) shifts the graph by 3 units Inside the bracket ( Horizontal transformations. They affect the -coordinates and are Counter-Intuitive (they do the opposite of what you expect) shifts the graph by 2 units Common DSE Transformation Patterns often have the opposite effect of what you might expect

→−f(x+3)right arrow negative f of open paren x plus 3 close paren By completing the square: . The vertex is . (b) Step 1: Horizontal compression by factor 2 means we replace Step 2: Shift up by 2 units (add 2 to the result). Final Answer: Conclusion (b) Horizontal compression by factor ( \frac12 ) (i

After applying each transformation technique, we obtained the following graphs:

Then ( f(u) = (2 - u)^2 + 1 = u^2 - 4u + 4 + 1 = u^2 - 4u + 5 ).

The figure shows ( y = f(x) ). Which of the following represents ( y = f(2x) + 1 )?