A13 sketch translations and reflections of a given function Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. What transformation does the function notation f(x) + a represent?

   • translation right
   • reflection in x-axis
   • translation up
   • stretch vertically

2. The transformation f(x - a) translates the graph of y = f(x)

   • down by a units
   • right by a units
   • up by a units
   • left by a units

3. The reflection of y = f(x) in the x-axis is

   • y = -f(x)
   • y = f(x) + 1
   • y = f(-x)
   • y = 1/f(x)

4. The reflection of y = f(x) in the y-axis is

   • y = -f(-x)
   • y = f(-x)
   • y = f(x - 1)
   • y = -f(x)

5. The graph of y = (x + 3)^2 is y = x^2 translated

   • 3 units down
   • 3 units right
   • 3 units up
   • 3 units left

6. The graph of y = x^2 + 5 is y = x^2 translated

   • 5 units down
   • 5 units right
   • 5 units up
   • 5 units left

7. The turning point of y = (x - 4)^2 + 1 is at

   • (-4, 1)
   • (1, 4)
   • (4, -1)
   • (4, 1)

8. Which transformation maps the graph of y = x^2 onto y = -x^2?

   • reflection in y-axis
   • reflection in x-axis
   • rotation 90 degrees
   • translation down

9. The graph of y = sin x + 2 has a range of

   • -1 to 1
   • 1 to 3
   • -2 to 2
   • 0 to 2

10. For y = x^2 + 3, the value when x = 2 is

    • 1
    • 7
    • 3
    • 10

11. For y = (x + 1)^2, the value when x = 0 is

    • 0
    • 1
    • -1
    • 2

12. For y = 2^x + 4, the value when x = 0 is

    • 5
    • 1
    • 4
    • 6

13. After reflection in the x-axis, the point (3, -2) becomes

    • (-3, 2)
    • (-3, -2)
    • (3, 2)
    • (-2, 3)

14. After reflection in the y-axis, the point (3, -2) becomes

    • (-3, 2)
    • (-3, -2)
    • (3, 2)
    • (2, -3)

15. The minimum point of y = (x - 2)^2 - 3 is

    • (-2, -3)
    • (-2, 3)
    • (2, -3)
    • (2, 3)

16. A point (1, 4) lies on y = f(x). Which point lies on y = f(x - 2)?

    • (-1, 4)
    • (3, 4)
    • (2, 4)
    • (1, 6)

17. The point (0, 5) lies on y = f(x). Under y = f(x + 2) - 1, which point corresponds?

    • (0, 4)
    • (-2, 4)
    • (-2, 6)
    • (2, 4)

18. Starting from y = x^2, a reflection in the x-axis then a translation of 3 units up gives

    • y = -x^2 - 3
    • y = -x^2 + 3
    • y = x^2 - 3
    • y = -(x + 3)^2

19. The graph of y = (x - 1)^2 - 4 crosses the x-axis at

    • x = -1 only
    • x = -1 and x = 3
    • x = 4 and x = -4
    • x = 1 and x = -4

20. The range of y = sin x - 1 is

    • -1 to 1
    • -2 to 2
    • -2 to 0
    • 0 to 2

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