Precalculus Examples

Find the Vertex y=|x+2|
Step 1
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Step 2
Subtract from both sides of the equation.
Step 3
Replace the variable with in the expression.
Step 4
Simplify .
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Step 4.1
Add and .
Step 4.2
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