Graphs and transformations of functions
Sets, relations and functions · Mathematics
Study notes
Q: Describe the graph of y = 2(x-3)^2 + 1 starting from y = x^2. Step 1: x^2 → (x-3)^2: shift right 3. Step 2: → 2(x-3)^2: vertical stretch by 2. Step 3: → +1: shift up 1. Vertex moves (0,0) → (3,1).