Question

what is the significance of the ordered pair (2, -4) to the graph? it is the axis of symmetry it is the vertex it is an x - intercept it is the y - intercept

Explanation:

Step1: Analyze the graph

The graph is a parabola. For a parabola \(y = ax^{2}+bx + c\), the vertex form is \(y=a(x - h)^{2}+k\), where \((h,k)\) is the vertex. The axis of symmetry is \(x = h\).

Step2: Check the ordered pair \((2,-4)\)

The ordered pair \((2,-4)\) is the lowest point (since the parabola opens upwards) of the parabola. In the context of a parabola, the lowest (or highest if it opens downwards) point is called the vertex.

Answer:

It is the vertex.