Use the image to answer the question. Determine which of the following statements is true about the parabola. (1 point) Responses The vertex and the x-intercepts share the same point. The vertex and the x -intercepts share the same point. The y-intercept and the vertex share the same point. The y -intercept and the vertex share the same point. The y-intercept and the x-intercepts share the same point. The y -intercept and the x -intercepts share the same point. There is only one x-intercept. There is only one x -intercept.

Answer 1

Without the image, I can't directly see the parabola you're referring to. However, I can help clarify some concepts about parabolas.

1. Vertex and x-intercepts: If the parabola touches the x-axis at the vertex, then the vertex and the x-intercepts share the same point, meaning it has a double root.

2. Vertex and y-intercept: The vertex and y-intercept are usually different points unless the parabola is symmetric around the y-axis and passes through the origin (0,0).

3. Y-intercept and x-intercepts: The y-intercept occurs where the parabola crosses the y-axis (x=0), while x-intercepts are points where the parabola crosses the x-axis (y=0). These are generally different unless the parabola has a very specific shape.

4. Only one x-intercept: This occurs when the parabola is tangent to the x-axis (meaning it just touches it) which is the same situation where the vertex is at that point.

If you can describe the parabola or give me key points (vertex, intercepts), I can help identify which statement would be true.