Answer:
1. false
2. false
3. true
Step-by-step explanation:
1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.
However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.
2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.
3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.
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