Transformation Of Graph Dse Exercise |top|
To master graph transformations for the HKDSE (Mathematics Compulsory Part), you need to understand how algebraic changes to a function translate into physical movements on a coordinate plane. 1. Core Transformation Rules
- First, shift right by 4: ( \sqrtx-4 )
- Then reflect over y-axis: ( \sqrt-x+4 = \sqrt4-x ). So domain: ( 4-x \ge 0 \Rightarrow x \le 4 ).
Given a transformed sine/cosine graph with labeled points, determine the constants ( a, b, c, d ) in ( y = a\sin(bx + c) + d ). transformation of graph dse exercise
find the new equation
Are you trying to or sketch the new graph ? To master graph transformations for the HKDSE (Mathematics
- Example: If $y = x^2$ becomes $y = (x-3)^2$, the vertex moves from $(0,0)$ to $(3,0)$.
Given ( y = f(x) ), and ( a > 0 ):
