Answer:
Step-by-step explanation:
Find the absolute value vertex. In this case, the vertex for
y = |x − 2 | + 1 is ( 2 , 1 ) .
To find the x coordinate of the vertex, set the inside of the absolute value
x − 2 equal to 0 . In this case,
x − 2 = 0. x−2 = 0
Add 2 to both sides of the equation.
x = 2
Replace the variable x with 2 in the expression.
y = | ( 2 ) − 2 | + 1
Simplify
| ( 2 ) − 2 | + 1 .
Simplify each term.
Subtract 2 from 2
y = | 0 | + 1
The absolute value is the distance between a number and zero. The distance between 0 and 0 is 0 .
y = 0 + 1
Add 0 and 1 .
y = 1
The absolute value vertex is ( 2 , 1 ) . ( 2 , 1 )
