# Section 4.3 Worksheet

```Section 4.3 Worksheet
Name: ___________________________________
Period: _____________________
Highland Park High School Algebra 1
Graphing Linear Functions
Graph and describe the difference between the graph and its parent function f(x).
1. π π₯ = π₯ + 5
2. π π₯ = π₯ β 3
3. β π₯ = π₯ + 2
4. π π₯ = π₯ β 1
5. π π₯ = 2π₯
6. π π₯ = β4π₯
!
7. β π₯ = π₯
!
!
8. π π₯ = β π₯
!
9. π π₯ = 2π₯ β 1
10. The number of hours people in the United States spent playing video games each year from 1998 to
2001 can be modeled by the function π π₯ = 11.9π₯ + 46.4 where x is the number of years since 1998.
a. Graph the function and identify itβs domain and range.
b. Find the value of π π₯ when π₯ = 2. Explain what the solutions means in
this situation.
c. Find the value of π π₯ when π₯ = 60. Explain what the solutions means in this situation.
11. A pool membership during the summer costs \$7 per week. The total cost of membership is given by the
function π π₯ = 7π₯. The pool also rents out lockers for \$2 per week. The total cost of membership and a
rental is given by π π₯ = 9π₯.
a. Graph both functions on the graph provided. How does the graph
of f compare to the graph of g.
b. What is the difference between a 12-week membership if you get
a locker and if you donβt? Explain how you got your answer.
```