Pre-Calculus 12 Chapter 1.1 Exploring horizontal and vertical transformations with function notation
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? What is the equation of this graph? (answer: y = x^3 + 2) 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? What is the equation of this graph? (answer: y = (x-2)^3 ) 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?