Example Compare the graph of y = f(x) to the graph of y = x 2. Then sketch a graph of y = f(x) and y = x 2 in the same xy-plane. Solution The graph is translated to the right 2 units and upward 3 units. The vertex for f(x) is (2, 3) and the vertex of y = x 2 is (0, 0). The graph opens upward and is wider.