Precalculus Examples
Step 1
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Step 2
Add to both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Step 3
Replace the variable with in the expression.
Step 4
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
Step 5
The absolute value vertex is .
Step 6