Welcome to the Interactive Graph Transformation Visualizer - an intuitive and powerful tool designed to help you understand how functions change under transformations. Whether you're a student learning the basics of graphing or a teacher explaining complex concepts, this tool makes transformations come alive.
Choose from common functions like \( y = x \), \( y = x^2 \), \( y = x^3 \), \( y = \log_2(x) \), \( y = \sin(x) \), \( y = |x| \), \( y = e^x \), \( y = \sqrt{x} \), and \( y = \cos(x) \). Then apply transformations - such as horizontal and vertical shifts, stretches, reflections, and dilations - and watch as the graph updates in real time.
Not only will you see how the graph moves and resizes, but you'll also observe how the equation itself changes. This dual visualization builds a deeper understanding of the connection between algebraic transformations and their geometric effects - a key concept in precalculus, algebra, and calculus.