Transformations of Graphs Quiz
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5 questions, one answer each
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1. The graph of (y = f(x)) is translated to give (y = f(x) - 5). What happens to the graph?
- A. It moves up 5 units
- B. It moves down 5 units
- C. It moves left 5 units
- D. It moves right 5 units
2. Which transformation describes (y = f(-x))?
- A. Reflection in the x-axis
- B. Reflection in the y-axis
- C. Vertical stretch
- D. Horizontal translation
3. The point ((4, -2)) lies on (y = f(x)). What is the image of this point on (y = f(x + 3))?
- A. ((7, -2))
- B. ((1, -2))
- C. ((4, 1))
- D. ((4, -5))
4. The graph of (y = f(x)) has a minimum point at ((2, -3)). What is the minimum point of (y = 2f(x))?
- A. ((2, -6))
- B. ((4, -3))
- C. ((2, -1.5))
- D. ((2, -3))
5. The graph of (y = f(x)) passes through ((-1, 0)) and ((3, 0)). A new curve is defined as (y = -f(x + 2)). At which x-values does the new curve cross the x-axis?
- A. (x = -1) and (x = 3)
- B. (x = 1) and (x = 5)
- C. (x = -3) and (x = 1)
- D. (x = 1) and (x = -5)