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 ?
- reflect the graph in the
- reflect the graph in the
- reflect the graph in the line
- 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 .
| 1 | 2 | 3 | 4 | |
| 1 | 2 | 3 | 4 |
Choose the table of the reflected function over the .
- A
1 2 3 4 - B
1 2 3 4 1 2 3 4 - C
1 2 3 4 - D
- E
1 3 4 1 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
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