Graph of f(x)=sinx: Scaling and Translation

This interactive example demonstrates the scaling and translation transformations of the sine function f(x)=sinx graph by adjusting parameters. Core math concepts include trigonometric function graph transformations, amplitude scaling, phase shift, and function translation rules. The construction utilizes a Textfield for variable input, along with objects such as sliders (k, b, a, θ) and functions (f, g) to dynamically observe graphical changes. It is designed for high school or advanced middle school math students to visually understand the properties and transformation rules of trigonometric function graphs.