graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper using those graphs compare and contrast the shape and position of the graphs
both are an inverted parabola, with the y-axis as its axis of symmetry. The 2nd is 4 units higher than the first, which has its vertex at the origin.
The graph of y = -2x^2 is shown below:
The graph of y = -2x^2 + 4 is shown below:
As you can see, both graphs have the same shape, which is an inverted parabola. However, the second graph is shifted up 4 units relative to the first graph. The vertex of the first graph is at the origin, while the vertex of the second graph is at (0,4).
Overall, the position and shape of the two graphs are similar, but the second graph is shifted up by a constant amount.