# Lesson Worksheet: Cubic Functions and Their Graphs Mathematics • 10th Grade

In this worksheet, we will practice graphing cubic functions, writing their rules from their graphs, and identifying their features.

Q1:

Which equation matches the graph? • A
• B
• C
• D

Q2:

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.

Q3:

Which of the following is the graph of ?

• A • B • C • D • E Q4:

Which equation matches the red graph?

• A
• B
• C
• D
• E

Q5:

Which equation matches the green graph?

• A
• B
• C
• D
• E

Q6:

Which of the following graphs represents ?    • A(d)
• B(a)
• C(c)
• D(b)

Q7:

Which equation matches the graph? • A
• B
• C
• D
• E

Q8:

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

Q9:

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

Q10:

Find the function shown in the figure. • A
• B
• C
• D