On a coordinate plane, a parabola opens up with solid circles along the parabola at (negative 6, 5), (negative 5, 0), (negative 4, negative 3), (negative 3, negative 4), (negative 2, negative 3), (negative 1, 0), (0, 5).

Question

What is the vertex of the parabola in the graph?



(
,
)

Answer 1

To find the vertex of the parabola given the points, we can first determine the pattern of the points you provided. The points are:

1. (-6, 5)
2. (-5, 0)
3. (-4, -3)
4. (-3, -4)
5. (-2, -3)
6. (-1, 0)
7. (0, 5)

From this list, you can observe that the y-values decrease to a minimum between (-4, -3) and (-3, -4), then increase again. The vertex typically represents the lowest point of a parabola that opens upwards.

The y-values reach their minimum at (-3, -4), indicating that this is the vertex of the parabola.

Thus, the vertex of the parabola is:

\[ (-3, -4) \]