Quadratic Transformations with Desmos

Step 1: Open Desmos Graphing Calculator and enter the parent function y = x² Step 2: Graph y = x² + k (try k = 3, -2, 5). What happens to the vertex? Step 3: Graph y = (x - h)² (try h = 2, -3, 4). How does the parabola shift? Step 4: Graph y = a(x)² (try a = 2, 0.5, -1). What changes about the shape? Step 5: Combine transformations: y = a(x - h)² + k Reflection: How do the parameters a, h, and k affect the graph? Can you predict the vertex location before graphing? Challenge: Create a parabola with vertex at (-2, 3) that opens downward and is wider than the parent function