Tips for Algebraic Input in GeoGebra

Create a dynamic geometric figure that combines algebraic input with geometric construction. Start with a coordinate plane and plot a function, such as a parabola or a line, based on an algebraic expression. Then, place a movable point on the curve, and use its coordinates to define another geometric object, like a tangent or perpendicular line through that point. Introduce a variable parameter that, when adjusted, updates both the function graph and the associated geometric elements simultaneously, showing the connection between algebra and geometry. The final figure should include axes, the function curve, the moving point, and its related lines, all clearly visible.