Precalculus Examples

To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Solve the equation to find the coordinate for the absolute value vertex.
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Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Replace the variable with in the expression.
Simplify .
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify by subtracting numbers.
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Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
The absolute value vertex is .
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