Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra II Honors Test Review--2-5 to 2-7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. The graph models a train’s distance from a river as the train travels at a constant speed. Which equation best
represents the relation?
a.
y = | x | + 60
b.
y = | x + 60 |
c.
y = | 60x |
d.
| 1 |
y = |
x|
| 60 |
Other
2. Explain how to find the x-coordinate of the vertex of y = | 3x − 6 | .
Short Answer
3. What is the vertex of the function y = | − 3x + 2 | − 4?
Write an equation for the vertical translation.
4. y =
2
3
x; 4 units down
5. Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of
the first function.
y = −2 | x | and y = −2 | x | − 3
1
Name: ________________________
ID: A
Graph the absolute value equation.
6. y = | x + 4 |
7. y = − | 2x + 3 |
8. Graph the function y = −2 | x| + 5.
2
Name: ________________________
ID: A
9. Write the equation for the translation of y = | x | .
10. Graph the equation of y = |x| translated 3 units down.
11. Write an equation for the horizontal translation of y = | x | .
12. Write the equation that is the translation of y = | x | left 1 unit and up 2 units.
3
Name: ________________________
ID: A
13. Describe the relationship between the graph of y = | x + 3| − 4 and the graph of y = | x | in terms of a vertical and
a horizontal translation. Then graph y = | x + 3| − 4.
Graph the inequality.
14. 4x – 2y < –3
15. –3x + y ≤ 5
4
Name: ________________________
ID: A
16. Write an inequality for the graph.
17. A doctor’s office schedules 15-minute appointments and half-hour appointments for weekdays. The doctor limits
these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute
appointments x and the number of half-hour appointments y the doctor may have in a week.
Graph the absolute value inequality.
18. y < |x + 2| – 2
5
Name: ________________________
ID: A
19. –|x – 1| > y – 5
Write an inequality for the graph.
20.
21. The equation y = − | x + 5 | describes a function that is translated from a parent function.
a. Write the equation of the parent function.
b. Find the number of units and the direction of translation.
c. Sketch the graphs of the two functions.
6