To create an absolute value equation in the form \(y = |x + c| + d\), we'll need to determine the values of \(c\) and \(d\) based on the vertex of the V-shaped graph and its orientation.
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Vertex: The vertex of the absolute value function indicates the point where the graph changes direction. Let's assume the vertex is located at the point \((h, k)\).
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Orientation: The orientation of the graph is indicated by the direction the V opens. If the line opens upwards (forms a "u" shape), the equation will have a "+" after the absolute value; if it opens downwards, it will have a "-" instead.
In the absence of specific coordinates from the table you're referencing, I will provide a general form of the equation as follows:
Assuming the vertex is at \((-c, d)\):
The absolute value equation can be represented as: \[ y = |x + c| + d \]
Without exact coordinates from the table, we can't specify the exact values of \(c\) and \(d\).
If you have the coordinates of the vertex or the plotted points, please provide them so we can refine the equation! For example, if the vertex is at \((0, 0)\), it would be expressed as \(y = |x|\). If it is at \((-3, 2)\), the equation would adjust accordingly to \(y = |x + 3| + 2\).