To help students understand the idea of "functions", the curriculum [i]Everyday Mathematics[/i] uses imaginary "function machines". But many geometric constructions are [b]rea[/b]l function machines, such as this construction that generates the parabola that has the formula [math]y=x^2[/math].

¿Por qué [math]v=u^2[/math]? Sugerencia: son semejantes, los triángulos [i]ABC[/i] y [i]PAC[/i].

Pre-Calculus 12 Chapter 1.1 Exploring horizontal and vertical transformations with function notation (piece-wise function)

Part A: 1. Don't touch anything! First, predict what will happen if the value of k = 2. 2. Now set k = 2 by dragging dot on the red slider to the right. 3. Did you predict the outcome correctly? 4. Keep exploring how values of k affect the position of the graph. For what values of k does the graph move up? For what values of k does the graph move down? ---- Part B: 1. Don't touch anything! First, predict what will happen if the value of h = 2. 2. Now set h = 2 by dragging dot on the green slider to the right. 3. Did you predict the outcome correctly?\ 4. Keep exploring how values of h affect the position of the graph. For what values of h does the graph move right? For what values of k does the graph move left?