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)
- Both functions are quadratic functions, which means they have a parabolic shape.
- The function y = -2x^2 has a vertex at the origin (0,0) and opens downwards.
- The function y = -2x^2 + 4 has a vertex at (0,4) and opens downwards as well.
- The two functions have the same concavity, but the second function is shifted upward by 4 units.