Lesson Worksheet: Cubic Functions and Their Graphs Mathematics
In this worksheet, we will practice graphing cubic functions, writing their rules from their graphs, and identifying their features.
Q1:
Which of the following graphs represents ?
- A(d)
- B(a)
- C(c)
- D(b)
Q2:
Find the function shown in the figure.
- A
- B
- C
- D
Q3:
Consider the graph of the function .
Write down the coordinates of the point of symmetry of the graph, if it exists.
- A
- B
- C
- D
- EIt does not exist.
Q4:
Which of the following is the graph of ?
- A
- B
- C
- D
- E
Q5:
Ethan starts with and has a graph that satisfies . He sees that the function will have a graph that also has -intercept 1.
What is the value of that gives the graph in ?
Q6:
Which equation matches the graph?
- A
- B
- C
- D
- E
Q7:
Select the equation of this curve.
- A
- B
- C
- D
- E
Q9:
Which equation matches the graph?
- A
- B
- C
- D
- E
Q10:
Which of the graphs matches the equation ?
- AA
- BC
- CD
- DB
Q11:
Which equation matches the graph?
- A
- B
- C
- D
- E
Q12:
Which of the graphs matches the equation ?
- AB
- BA
- CD
- DC
Q13:
Which of the graphs matches the equation ?
- AC
- BD
- CB
- DA
Q14:
Which equation matches the graph?
- A
- B
- C
- D
Q15:
Which of the following is a set of points that lie on the curve ?
- A
- B
- C
- D
- E
Q16:
If is changed to , how is the graph transformed?
- AHorizontally shifted left by 5 and vertically shifted down by 1
- BHorizontally shifted left by 5 and vertically shifted up by 1
- CHorizontally shifted left by 1 and vertically shifted up by 5
- DHorizontally shifted right by 1 and vertically shifted up by 5
- EHorizontally shifted right by 1 and vertically shifted down by 5
Q17:
If is changed to , how is the graph transformed?
- AHorizontally shifted left by 5 and vertically shifted up by 1
- BHorizontally shifted left by 5 and vertically shifted down by 1
- CHorizontally shifted right by 1 and vertically shifted down by 5
- DHorizontally shifted left by 1 and vertically shifted up by 5
- EHorizontally shifted right by 1 and vertically shifted up by 5
Q18:
If is changed to , how is the graph transformed?
- AStretched in the -direction by 2, reflected in the , and shifted left by 1
- BStretched in the -direction by a factor of 2, reflected in the , and shifted left by 1
- CStretched in the -direction by 2, reflected in the , and shifted left by 1
- DStretched in the -direction by 2, reflected in the , and shifted right by 1
- EShrunk in the -direction by 2, reflected in the , and shifted left by 1
Q19:
Which equation matches the red graph?
- A
- B
- C
- D
- E
Q20:
Which equation matches the green graph?
- A
- B
- C
- D
- E
Q21:
The graph of is transformed so that its point of symmetry is .
Which of the following could be the equation of the transformed graph?
- A
- B
- C
- D
- E
Q22:
Which equation matches the red graph?
- A
- B
- C
- D
- E
Q23:
The graph of has been transformed so that its point of symmetry is . Which of the following could be the equation of the transformed graph?
- A
- B
- C
- D
- E
Q24:
If is changed to , how is the graph transformed?
- AStretched by a factor of 10 in the -direction and shifted right by 0.1
- BStretched by a factor of 0.1 in the -direction and shifted right by 10
- CStretched by a factor of 0.1 in the -direction and shifted left by 10
- DStretched by a factor of 0.1 in the -direction and shifted right by 10
- EStretched by a factor of 10 in the -direction and shifted left by 0.1
Q25:
The graph of has been transformed so that its point of symmetry is . Which of the following could be the equation of the transformed graph?
- A
- B
- C
- D
- E