Graph Dse Exercise | Transformation Of

The graph of ( y = f(x) ) is translated 3 units right and then reflected in the y-axis to become ( y = \sqrt4 - x^2 ). Find ( f(x) ).

The graph of ( y = 2^x ) is reflected in the line ( y = x ), then stretched vertically by factor 3, then translated 2 units down. Find the equation of the resulting curve. Answer: Reflection in ( y=x ) gives inverse: ( y = \log_2 x ). Then vertical stretch ×3: ( y = 3 \log_2 x ). Then down 2: ( y = 3 \log_2 x - 2 ). transformation of graph dse exercise

A and D are equivalent and correct. Reflection first: ( y = -\sin x ), then +2. Exercise Set 2: Finding the Original Graph (Reverse Transformation) DSE often asks: Given the image graph, find the pre-image function. The graph of ( y = f(x) )

Whether it’s a quadratic function, trigonometric curve, or an abstract ( y = f(x) ), examiners expect candidates to visualize how algebraic changes alter geometric shapes. This article provides a structured to mastering four core transformations: translation, reflection, scaling, and their composite applications. Part 1: The Four Pillars of Graph Transformation (DSE Core) Before tackling complex exercises, let’s establish the foundational rules. Assume the original graph is ( y = f(x) ). Find the equation of the resulting curve