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
)
