Question

1. choose all of the functions that represent a quadratic function with a relative minimum.

a

x	y
-3	6
-2	0
-1	-4
0	-6
1	-6
2	-4
3	0
4	6

b
graph of a parabola opening downward with vertex at (0, some positive y - value) and crossing the x - axis at two points

Explanation:

Step1: Analyze Option A (Table)

For a quadratic function, the graph is a parabola. Looking at the table values: when \( x \) increases from -3 to 0, \( y \) decreases; when \( x \) increases from 0 to 4, \( y \) increases. This means the parabola opens upwards (since the vertex is the minimum point, as the function decreases then increases), so it has a relative minimum.

Step2: Analyze Option B (Graph)

The graph in Option B opens downwards (the parabola has a maximum point at the top), so it has a relative maximum, not a minimum.

Answer:

A (the table - representing a quadratic function with a relative minimum)