$\"\"$

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Observe the graph,

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The general form of absolute value function is $\"\"$ .

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Find the absolute function.

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Consider the vertex point $\"\"$ is $\"\"$ .

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$\"\"$ (Formula for absolute value function) \ \

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$\"\"$ (Substitute $\"\"$

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$\"\"$ (Simplify)

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Find $\"\"$ .

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Consider the point on the graph $\"\"$ .

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms) \ \

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the function an absolute function is $\"\"$ . $\"\"$

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The function an absolute function is $\"\"$ .