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Worksheet: Transformations of Graphs of Functions
Q1:
The graph of function is produced from that of by the following steps: a shift of 4 to the right, a dilation by a scale factor of , and a shift of 4 up. What is the function ?
- A
- B
- C
- D
- E
Q2:
Which of the following processes would you use to obtain the graph of from the graph of ?
- reflect the graph in the -axis
- reflect the graph in the -axis
- reflect the graph in the line
- reflect the graph in the line
- Ad only
- Bc and d
- Ca and b
- Db only
- Ea only
Q3:
Given the graph of , which of the following is the graph of ?
- A
- B
- C
- D
Q4:
The following graph is a transformation of the graph of . What is the function it represents? Write your answer in a form related to the transformation.
- A
- B
- C
- D
- E
Q5:
This is the graph of .
Which of the following is the graph of ?
- A(b)
- B(c)
- C(a)
Q6:
Consider the following graph of the linear function .
Which of the following is the graph of the function ?
- A(d)
- B(b)
- C(c)
- D(a)
Q7:
This is the graph of the exponential function .
Which of the following is the graph of ?
- A(b)
- B(c)
- C(a)
Q8:
On the left is the graph of and on the right is the graph of for some numbers and .
What is the pair ?
- A
- B
- C
- D
- EThey cannot be determined.
Q9:
The graph of is given by the dashed red line in the following figure. Also shown are graphs of , , and . Match up these functions to their graphs.
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q10:
The red graph in the figure has the equation and the blue graph has the equation . Express as a transformation of .
- A
- B
- C
- D
- E
Q11:
Which of the graphs matches the equation ?