Precalculus Examples

Simplify .
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Write as a fraction with denominator .
Multiply and to get .
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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Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Solve for .
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Multiply both sides of the equation by .
Multiply by to get .
Replace the variable with in the expression.
Simplify to get .
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Simplify each term.
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Divide by to get .
Subtract from to get .
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by to get .
Add and to get .
The absolute value vertex is .
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