1. What is the NAME and GENERAL EQUATION for the parent function below?
Identity Function 𝑓 𝑥 =𝑥

2. For the equation below: 1) Name the Parent Function 2) Describe the transformation(s)
𝑦= (𝑥+4) 2 −7
Parent Function:
Quadratic Function 2) Describe the transformation(s):
a)Translation 4 units to the left
b) Translation down 7 units

3. SOLVE and GRAPH the linear inequality below.
𝑦−8≤𝑥−2
𝑦≤𝑥+6
I will complete graph by hand before I make copies!

4. Write an equation based on the following parent function and transformations.
translation down 2 units
reflection over the x-axis
horizontal stretch by a factor of 3
𝑦=− 3𝑥 −2

5. Write an equation for the linear inequality below.
𝑦≥2𝑥+6

6. What is the NAME and GENERAL EQUATION for the parent function below?
Constant Function 𝑓 𝑥 =𝑎

7. SOLVE and GRAPH the linear inequality below.
𝑦+2>𝑥+6
𝑦>𝑥+4
I will complete graph by hand before I make copies!

8. For the equation below: 1) Name the Parent Function 2) Describe the transformation(s)
𝑦= −𝑥 2 +3
Parent Function:
Quadratic Function 2) Describe the transformation(s):
a) Reflection over the x-axis
b) Translation up 3 units

9. Write an equation based on the following parent function and transformations.
translation left 4 units
reflection over the y-axis
vertical shrink by a factor of 3 4
𝑦= 3 4 (−𝑥+4) 2

10. Write an equation for the absolute inequality below.
𝑦≥ 𝑥 +4

11. For the equation below: 1) Name the Parent Function 2) Describe the transformation(s)
𝑦= 𝑥+1 −3
Parent Function:
Absolute Value Function 2) Describe the transformation(s):
a)Translation right 1 unit
b)Translation down 3 units

12. SOLVE and GRAPH the absolute value inequality below.
𝑦+3≥ 𝑥−4 +5
𝑦≥ 𝑥−4 +2
I will complete graph by hand before I make copies!

13. What is the NAME and GENERAL EQUATION for the parent function below?
Quadratic Function 𝑓 𝑥 = 𝑥 2

14. Write an equation based on the following parent function and transformations.
translation right 8 units
reflection over the x-axis
vertical shrink by a factor of 1 2
𝑦=− 1 2 𝑥−8

15. For the equation below: 1) Name the Parent Function 2) Describe the transformation(s)
𝑦=2 𝑥 +6
Parent Function:
Absolute Value Function 2) Describe the transformation(s):
a)Vertical stretch by a factor of 2
b)Translation up 6 units

16. Write an equation for the linear inequality below.
𝑦<−𝑥−1

17. What is the NAME and GENERAL EQUATION for the parent function below?
Absolute Value Function 𝑓 𝑥 = 𝑥

18. Write an equation for the absolute value inequality below.
𝑦< 𝑥 −1

19. SOLVE and GRAPH the absolute value inequality below.
𝑦−5< 𝑥+1 −2
𝑦< 𝑥+1 +3
I will complete graph by hand before I make copies!

20. Write an equation based on the following parent function and transformations.
translation up 8 units
translation left 2 units
horizontal stretch by a factor of 3
𝑦= (3𝑥+2) 2 +8