Algebra 2
Lesson 2.6 – Worksheet
Name __________________________Block _____
Graph the absolute value function. LABEL THE VERTEX.
3
x4
4
1.
y  x 3  2
2. y 
3.
y  2 x  5
4. y   x  3  2
4.
y  4 x 12
6. y 
1 1
x3 4
2 2
Write an equation for each graph.
7.
8.
9.
10.
Write an equation for the translation so the graph has the given vertex.
11. y  x ; vertex (−3, 2)
12. y  2 x ; vertex (3, 0)
13. y 
2
x ; vertex (0, −3)
3
14. Which translation takes y  x  2  1 to y  x  2 ?
A. 2 units right, 3 units down
C. 2 units right, 3 units up
B. 2 units left, 3 units up
D. 2 units left, 3 units down
15. The graph of which equation will NOT have a y-intercept of 5?
A.
y  x 5
B. y  x  5
C. y  x  5  5
D. y  x  5
16. The graph of y  x  1 is translated 3 units left and 2 units down. What is the equation of the new graph?
A.
y  x2 2
B. y  x  4  2
C. y  x  4  2
D. y  x  4  2
17. The graph of y  x is translated down 5 units and right 4 units. What is the equation of the new graph?
A.
y  x4 5
B. y  x  4  5
C. y  x  4  5
Write an equation for each graph. Then give the domain and range for the function.
18.
19.
20.
D. y  x  4  5