Step 1: Model x² − 6x + 3 by placing tiles in the Product section. First place the x² and −x tiles along the left and top borders to form two sides of a square. Then place the + tiles along the ends of the −x tiles.

Step 2: Form a square of tiles in the product section. Add as many zero-pair tiles as necessary. Move the extra − tiles off to the side.

Step 3: Drag tiles to the sections labeled Factor 1 and Factor 2 to represent the factors of the tiles in the square.

Step 4: What trinomial is represented by the tiles in the square?
 (x − 3)(x − 3) = x² − 6x + 9
 (x + 3)(x + 3) = x² + 6x + 9
 (x − 3)(x + 3) = x² − 9

Step 5: What number do the extra tiles represent?
 6
 −6

Step 6: Identify the vertex form of the function.
 h(x) = (x − 3)² − 6
 h(x) = (x + 3)² − 6