The following table represents a quadratic function.-2|9-1|70|51|72|9Which of the following are true about the graph that represents the same quadratic function? Select all that apply.O The graph has a relative minimumO The graph of the quadratic function has a vertex at (0,5) O The graph opens upO The graph has one xinterceptO The graph has a y-intercept at (5,0) O The axis of symmetry isx=0
Question
Answer:
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).
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