QuestionDecember 12, 2025

)) Write an absolute value equation that represents the graph shown. 4) Your answer should use the form vert x-avert =borvert x+avert =b where a and b are whole numbers, decimals, or simplified fractions.

)) Write an absolute value equation that represents the graph shown. 4) Your answer should use the form vert x-avert =borvert x+avert =b where a and b are whole numbers, decimals, or simplified fractions.
)) Write an absolute value equation that represents the graph shown.
4) Your answer should use the form vert x-avert =borvert x+avert =b where a and b are whole
numbers, decimals, or simplified fractions.

Solution
4.5(276 votes)

Answer

\vert x-a\vert = b (where a is the x-coordinate of the vertex and b is the distance from the vertex to an endpoint) Explanation 1. Identify the vertex of the graph The vertex is at (a, 0) where the graph changes direction. 2. Determine the distance from the vertex to each endpoint The endpoints are b units away from the vertex on both sides. 3. Write the absolute value equation Use \vert x-a\vert = b if the vertex is at (a, 0) and endpoints are b units away.

Explanation

1. Identify the vertex of the graph<br /> The vertex is at $(a, 0)$ where the graph changes direction.<br />2. Determine the distance from the vertex to each endpoint<br /> The endpoints are $b$ units away from the vertex on both sides.<br />3. Write the absolute value equation<br /> Use $\vert x-a\vert = b$ if the vertex is at $(a, 0)$ and endpoints are $b$ units away.
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