In the HKDSE Mathematics curriculum, is a critical topic frequently appearing in Paper 1 (Section A and B) and Paper 2 (Multiple Choice). It involves changing a parent function
Given ( y = f(x) ) passes through ( A(2, 3) ), ( B(4, 0) ), ( C(6, 5) ). The graph is transformed to ( y = \frac12 f(x+2) - 1 ). Find the new coordinates of A, B, C. transformation of graph dse exercise
Stationary points occur when ( g'(x)=0 ). ( g(x) = 2f(1-x) + 1 ) ( g'(x) = 2 \cdot f'(1-x) \cdot (-1) = -2 f'(1-x) ) Set ( g'(x)=0 \implies f'(1-x)=0 ). In the HKDSE Mathematics curriculum, is a critical
Example: Stretch horizontally by factor 2, reflect in y-axis, shift down 3. In the HKDSE Mathematics curriculum
Write down the final equation.