1. Integrated Math One
Module 7 Test Review

2. Match the following transformations:
1. f x =c∗g x a. Horizontal translation
2. f x =g(x)±c b. Vertical translation
3. f x =g(x±c) c. By a scale factor
4. Describe what the following changes will look like on a graph.
𝑎. 𝑓 𝑥 =𝑔 𝑥 −3
𝑏. 𝑓 𝑥 =𝑔 𝑥−3
𝑐. 𝑓 𝑥 =𝑔 𝑥+3
𝑑. 𝑓 𝑥 =𝑔 𝑥 +3

3. 5. If 𝑓 𝑥 =𝑔 𝑥 −14, and 𝑔 𝑥 =4𝑥−23, then
7. If 𝑓 𝑥 =𝑔 𝑥 −6, and 𝑔 𝑥 =2∙ 7 𝑥 , then f (3) = _______
8. If 𝑓 𝑥 =𝑔 𝑥 −3, and 𝑓 𝑥 =5∙ 8 𝑥 , then

4. 9. Graph 𝑓(𝑥), given that 𝑔(𝑥) is graphed below when: 𝑓 𝑥 =𝑔 𝑥 +6

5. 10. Fill in the table for 𝑔(𝑥) when 𝑔 𝑥 =𝑓 𝑥 +4X
f (x)
g(x) 1 2 3 8 -2 -7
11. What is the slope between the points (-5 , 8) and (3 , 6)?

6. 12. What is the distance between the points (-5 , 8) and (3 , 6)?
13. If 𝑓 𝑥 =2𝑥−3 and 𝑔 𝑥 =𝑓 𝑥 +8, find the distance between 𝑓 2 𝒂𝒏𝒅 𝑔(−4)

7. Translation Form Equation Slope-Intercept Form Equation
14. Use the graph above to fill out the table below
𝒇(𝒙)
𝒈(𝒙)
Translation Form Equation
a. 𝑓 𝑥 =
b. 𝑔 𝑥 =
Slope-Intercept Form Equation
c. 𝑓 𝑥 =
d. 𝑔 𝑥 =

8. 15. What shape is this and how do you know?
𝐴𝐵 =
𝐵𝐶 =
𝐶𝐷 =
𝐴𝐷 =
𝑚 𝐴𝐵 =
𝑚 𝐵𝐶 =
𝑚 𝐶𝐷 =
𝑚 𝐴𝐷 =
16. What is the perimeter of this shape?
17. What is the Area of this shape?