The graph of ( y = f(x) ) passes through (2, 3). It is transformed as follows: Step 1: Reflect in y-axis. Step 2: Stretch vertically by factor 3. Step 3: Shift left 1 unit and up 2 units.
) usually behave the opposite of what you might expect. For example, adding to moves the graph left, and multiplying transformation of graph dse exercise
This exercise set covers exactly the type of appearing in DSE Paper 1 (short questions) and occasionally Paper 2 (MC). Practice translating between algebraic descriptions, coordinate mappings, and geometric sketches. The graph of ( y = f(x) ) passes through (2, 3)
Then: ( y = -f(x+1) ) → Step 1: ( f(x+1) ) shifts left by 1. Step 2: Negative sign reflects in x‑axis. Step 3: Shift left 1 unit and up 2 units
. It is often the easiest way to identify the correct transformation in MC questions. 3. Transformation of Graph: DSE Practice Exercise
(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.
DSE often combines ( y = |f(x)| ) or ( y = f(|x|) ) with other transformations.