Question

The following table represents a quadratic function.

-2|9
-1|7
0|5
1|7
2|9

Which of the following are true about the graph that represents the same quadratic function? Select all that apply.

O The graph has a relative minimum
O The graph of the quadratic function has a vertex at (0,5)
O The graph opens up
O The graph has one xintercept
O The graph has a y-intercept at (5,0)
O The axis of symmetry isx=0

Answer 1

The following are true:
The graph has a relative minimum
The graph of the quadratic function has a vertex at (0,5)
The graph opens up
The axis of symmetry is x=0

It has a minimum point; there is a smallest value of y for this function. The vertex will be that minimum point, (0, 5). Since that is the vertex, that means x=0 is the axis of symmetry. It opens up because all of the other points are above the vertex.

It does not have any x-intercepts, since the lowest y-value is 5 (the vertex). The y-intercept would be at (0, 5), not (5, 0).