Describe the transformation from y = f(x)
11th grade (Year 12 in England) Β· 16 questions Β· Common Core: HSF.BF.B.3 Β· England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Which transformation maps y = f(x) onto y = 3f(x)?
- A. Horizontal stretch, scale factor 1/3
- B. Reflection in the y-axis
- C. Vertical stretch, scale factor 3
- D. Reflection in the x-axis
Question 2
The point (β4, 3) lies on y = f(x). Where does it move to on y = βf(x)? Type it like (2, β1).
Answer
Question 3
Which transformation maps y = f(x) onto y = f(x) + 3?
- A. Reflection in the x-axis
- B. Translation 3 units left
- C. Horizontal stretch, scale factor 1/3
- D. Translation 3 units up
Question 4
The point (3, 0) lies on y = f(x). Where does it move to on y = f(x β 3) β 1? Type it like (2, β1).
Answer
Question 5
Which transformation maps y = f(x) onto y = f(βx)?
- A. Reflection in the y-axis
- B. Horizontal stretch, scale factor 5
- C. Vertical stretch, scale factor 5
- D. Reflection in the x-axis
Question 6
The point (6, 3) lies on y = f(x). Where does it move to on y = f(x + 4) + 1? Type it like (2, β1).
Answer
Question 7
Which transformation maps y = f(x) onto y = 3f(x)?
- A. Reflection in the y-axis
- B. Vertical stretch, scale factor 3
- C. Reflection in the x-axis
- D. Translation 3 units right
Question 8
The point (1, 4) lies on y = f(x). Where does it move to on y = βf(x)? Type it like (2, β1).
Answer
Question 9
Which transformation maps y = f(x) onto y = f(x + 5)?
- A. Translation 5 units right
- B. Translation 5 units left
- C. Vertical stretch, scale factor 5
- D. Reflection in the x-axis
Question 10
The point (β3, β6) lies on y = f(x). Where does it move to on y = 6f(x)? Type it like (2, β1).
Answer
Question 11
Which transformation maps y = f(x) onto y = βf(x)?
- A. Reflection in the x-axis
- B. Horizontal stretch, scale factor 1/3
- C. Vertical stretch, scale factor 3
- D. Translation 3 units up
Question 12
The point (β3, 6) lies on y = f(x). Where does it move to on y = βf(x)? Type it like (2, β1).
Answer
Question 13
Which transformation maps y = f(x) onto y = f(x) + 2?
- A. Horizontal stretch, scale factor 2
- B. Vertical stretch, scale factor 2
- C. Reflection in the x-axis
- D. Translation 2 units up
Question 14
The point (β1, 5) lies on y = f(x). Where does it move to on y = 2f(x)? Type it like (2, β1).
Answer
Question 15
Which transformation maps y = f(x) onto y = f(2x)?
- A. Horizontal stretch, scale factor 2
- B. Translation 2 units up
- C. Horizontal stretch, scale factor 1/2
- D. Reflection in the x-axis
Question 16
The point (β6, 5) lies on y = f(x). Where does it move to on y = βf(x)? Type it like (2, β1).
Answer
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