The graph of y = x2 is shown below.
If graphed on the same grid, which of the following could be the graph of y = 0.4x2?
If the graph of y = x^2 is shown below as a U-shaped curve, then the graph of y = 0.4x^2 would also be a U-shaped curve, but it would be wider and flatter than the original graph.
Therefore, any graph that is wider and flatter than the original graph of y = x^2 could be the graph of y = 0.4x^2.
In other words, any graph that is less steep than the original graph could be the graph of y = 0.4x^2.
Some possible options could include:
- A wider U-shaped curve that is still concave up but not as steep as the original graph.
- A parabola that is wider and has a shallower slope than the original graph.
- A graph that resembles a wide "W" shape with a shallower slope in the middle portion compared to the original graph.
It is important to note that the specific shape of the graph can vary based on the scaling of the axes and the specific values chosen for the function, so there are many possible graphs that could represent y = 0.4x^2.