Precalculus Examples

Combine and .
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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Subtract from both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify the left side.
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Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and .
Divide by .
Multiply by .
Replace the variable with in the expression.
Simplify .
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Divide by .
Add and .
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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