Question

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 2 to 4 in increments of 1. The y-axis ranges from negative 8 to 2 in increments of 1. (This statement is the accurate description of the parabola.)

Now Identify the y-intercept and vertex of the parabola using the description.

(1 point)
vertex: ()

y-intercept: ()

Answer 1

To identify the vertex and y-intercept of the parabola based on the provided description, we need to understand the general characteristics and typical points that a parabola can have.

1. **Vertex:** The vertex of a parabola is the highest or lowest point, depending on its orientation (opening upwards or downwards). Since we don't have an exact equation provided, we can suggest that the vertex lies within the given ranges of the x-axis (from -2 to 4) and the y-axis (from -8 to 2).

2. **Y-intercept:** The y-intercept of a parabola is where it crosses the y-axis, meaning this occurs when \( x = 0 \).

Without the specific equation or graph of the parabola provided, we cannot determine exact coordinates. However, we can use the provided ranges to guess typical coordinates.

Assuming a typical parabola that opens upwards, let's consider a vertex within the range:

- **Vertex:** A reasonable estimate might be at \( (1, -8) \), but we can assert a more likely guess would be around the middle of the y-axis at \( (1, -2) \) since it ranges from -8 to 2.

- **Y-intercept:** If we consider standard forms of parabolas and the range (-8 to 2), let's assert as possible coordinates for the y-intercept when \( x = 0 \). A simple common point for y-intercept could be at \( (0, -2) \).

So based on typical characteristics of a parabola given the axis ranges:

**vertex:** (1, -2)
**y-intercept:** (0, -2)

These are assumptions based on typical parabola characteristics, and the exact values could vary if more specific details were provided.