Final answer:
The difference between the graphs lies in the vertical scale factor and the direction of the parabola. Both graphs are quadratic functions with a similar shape, but they differ in concavity and direction of opening.
Step-by-step explanation:
The difference between the graphs of f(x) = 3x^2 and g(x) = -2х^2 lies in the vertical scale factor and the direction of the parabola.
- Similarity: Both graphs are quadratic functions and have a similar shape, which is a parabola.
- Difference: The graph of f(x) = 3x^2 has a positive concavity, meaning it opens upwards, while the graph of g(x) = -2х^2 has a negative concavity, meaning it opens downwards.
- Overall, the graphs are more similar than different since they both represent quadratic functions with parabolic shapes, but they differ in terms of the vertical scale factor and the direction of the opening of the parabola.