# Lesson Worksheet: Function Transformations: Reflection Mathematics • 10th Grade

In this worksheet, we will practice reflecting a graph on the x- or y-axis, both graphically and algebraically.

Q1:

Which of the following processes would you use to obtain the graph of from the graph of ?

1. reflect the graph in the
2. reflect the graph in the
3. reflect the graph in the line
4. reflect the graph in the line
• Aa only
• Bd only
• Cb only
• Dc and d
• Ea and b

Q2:

Find , where the graph of the function is a reflection across of the graph of the function .

• A
• B
• C
• D
• E

Q3:

This is the graph of . Which of the following is the graph of ?  • A(c)
• B(b)
• C(a)

Q4:

The following linear graph represents a function after a reflection on the . Find the original function .

• A
• B
• C
• D

Q5:

The graph of the function is reflected symmetrically over the to obtain the graph of the function . Which of the following is the graph of the function ? • A • B • C • D • E Q6:

Graphs and in the diagram are the graphs of square root functions. They are symmetric about the origin. The equation of graph is . Knowing that a point reflection about the origin is equivalent to a reflection in the -axis followed by a reflection in the -axis, find the equation of graph . • A
• B
• C
• D
• E

Q7:

Consider the function , where . Which of the graphs shown represents the function ?

• AB
• BD
• CA
• DE
• EC

Which of the graphs shown represents the reflection of on the ?

• AE
• BC
• CA
• DD
• EB

Which of the graphs shown represents the reflection of on the ?

• AA
• BB
• CC
• DD
• EE

Q8:

Consider the following table of the function .

 𝑥 𝑓(𝑥) 1 2 3 4 1 2 3 4

Choose the table of the reflected function over the .

• A
 𝑥 𝑔(𝑥) −1 −2 −3 −4 1 2 3 4
• B
 𝑥 𝑔(𝑥) 1 2 3 4 1 2 3 4
• C
 𝑥 𝑔(𝑥) 1 2 3 4 −1 −2 −3 −4
• D
 𝑥 𝑔(𝑥) −1 −2 −3 −4 −1 −2 −3 −4
• E
 𝑥 𝑔(𝑥) 1 −2 3 4 1 −2 3 4

Q9:

The following parabolic graph represents a function after a reflection on the . Find the original function .

• A
• B
• C
• D
• E

Q10:

Given the function , which of the following graphs is the reflection of on the ?

• A
• B
• C
• D
• E