Question

It is an x-intercept

What is the significance of the ordered pair (0, -2) to the
graph?
It is the axis of
symmetry
It is the vertex
It is the y-intercept

Answer 1

The significance of the ordered pair (0, -2) to the graph depends on the context of the graph being discussed.

If the graph represents a linear equation, the ordered pair (0, -2) would be the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which is the vertical axis. In this case, the value of x is 0, indicating that the graph passes through the y-axis at the point where y equals -2.

If the graph represents a quadratic equation, the ordered pair (0, -2) would be the vertex of the parabola. The vertex is the point on the graph where it reaches its highest or lowest point, depending on the direction of the curve. In this case, the vertex is located at x equals 0 and y equals -2.

If the graph represents a symmetry, the ordered pair (0, -2) would be the axis of symmetry. The axis of symmetry is a vertical line that divides the graph into two equal halves, such that if you fold the graph along this line, the two halves would perfectly overlap. In this case, the vertical line at x equals 0 represents the axis of symmetry for the graph.

So, depending on the context of the graph, the ordered pair (0, -2) can represent the y-intercept, the vertex, or the axis of symmetry.

Explanation:

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Answer 2

It is the y-intercept.

Explanation:

The x-coordinate of the ordered pair is 0, which means it lies on the y-axis.

The y-coordinate of the ordered pair is -2, which is the value of the function at the point (0, -2).

The axis of symmetry of the graph is a vertical line that divides the graph into two symmetric parts.

The vertex of the graph is the point where the graph changes direction.

The x-intercepts of the graph are the points where the graph crosses the x-axis.

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In this case, the axis of symmetry is the line x = 0, the vertex is not known, and there are no x-intercepts.

Therefore, it is the y-intercept.