Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs. (3 points)
The graph of the quadratic function y = -2x^2 is a downward-facing parabola opening downwards, and its vertex is located at the origin (0,0). The negative coefficient of x^2 makes the parabola open downwards.
On the other hand, the graph of the quadratic function y = -2x^2 + 4 is also a downward-facing parabola opening downwards, but it is vertically shifted upward by 4 units. The vertex of this parabola is at (0,4).
In summary, both graphs have the same shape, which is a downward-facing parabola, but the second graph is vertically shifted 4 units upward compared to the first graph.