Final Answer:
The statements that apply to the parabola are:
- Vertex on the y-axis
- Concave down
- One positive x-intercept
Step-by-step explanation:
A parabola can have different characteristics based on its equation and graph. In this case, the parabola has its vertex on the y-axis, indicated by the fact that it opens either upwards or downwards and is centered at the point (0, 0). This aligns with the statement "Vertex on the y-axis."
"Concave down" refers to the shape of the parabola. When a parabola opens downwards, it is said to be concave down. This means that the parabola curves downward, resembling the shape of a cup, and is confirmed by the graph's orientation.
"One positive x-intercept" implies that the parabola crosses the x-axis at a single point where the value of x is positive. This is observed in the graph, where the parabola intersects the x-axis at only one point on the right side.
The statement "One negative y-intercept" does not apply to this parabola because there is no intersection with the y-axis below the origin. Lastly, "Line of symmetry at y = 3" is not a characteristic of this parabola since there is no symmetry along the line y = 3, as the parabola is not symmetric about any horizontal line in this case.