# Algebra Examples

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by to get .
Divide by to get .
Replace the variable with in the expression.
Simplify to get .
Simplify each term.
Remove parentheses around .
Raising to any positive power yields .
Multiply by to get .
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by to get .
The absolute value vertex is .