Lesson B9
B9 Transformations of graphs Quiz: AQA Maths, Unit 2
20 questions
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Lesson B9, Transformations of graphs: 20 multiple choice questions for the AQA Maths (7357), Unit 2: Algebra and functions, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What transformation maps the graph of y = f(x) onto y = f(x) + 3?
- Translation 3 units up
- Translation 3 units down
- Translation 3 units right
- Translation 3 units left
-
What transformation maps the graph of y = f(x) onto y = f(x - 2)?
- Translation 2 units down
- Translation 2 units left
- Translation 2 units right
- Translation 2 units up
-
What transformation maps y = f(x) onto y = 2f(x)?
- Vertical stretch, factor 2
- Horizontal stretch, factor 2
- Horizontal stretch, factor 0.5
- Vertical stretch, factor 0.5
-
What transformation maps y = f(x) onto y = f(2x)?
- Vertical stretch, factor 1/2
- Vertical stretch, factor 2
- Horizontal stretch, factor 1/2
- Horizontal stretch, factor 2
-
What transformation maps y = f(x) onto y = -f(x)?
- Reflection in x-axis
- Reflection in y-axis
- Translation along y-axis
- Rotation about origin
-
What transformation maps y = f(x) onto y = f(-x)?
- Reflection in x-axis
- Translation along x-axis
- Reflection in y-axis
- Rotation about origin
-
A point (3, 5) lies on y = f(x). Which point lies on y = f(x) + 2?
- (5, 2)
- (1, 5)
- (3, 7)
- (3, 3)
-
A point (4, 6) lies on y = f(x). Which point lies on y = f(x/2)?
- (4, 12)
- (2, 6)
- (8, 6)
- (4, 3)
-
A point (2, -1) lies on y = f(x). Which point lies on y = -f(x) + 4?
- (-2, 5)
- (2, 5)
- (2, -5)
- (2, 3)
-
What translation vector transforms the graph of y = f(x) into y = f(x - 1) + 3?
- (1, 3)
- (-1, 3)
- (1, -3)
- (-1, -3)
-
Which transformation leaves the x-intercepts of y = f(x) unchanged but doubles the y-intercept?
- y = f(2x)
- y = f(x) + 2
- y = f(x + 2)
- y = 2f(x)
-
A point (1, 4) lies on y = f(x). Which point lies on y = f(-x)?
- (1, -4)
- (4, 1)
- (-1, 4)
- (-1, -4)
-
A point (6, 2) lies on y = f(x). Which point lies on y = f(3x)?
- (3, 2)
- (18, 2)
- (6, 2/3)
- (2, 2)
-
How is the graph of y = |f(x)| formed from y = f(x)?
- Reflect negative x-parts
- Rotate around origin
- Reflect negative y-parts
- Translate upwards
-
The graph of y = |x| is translated to y = |x - 3|. Describe the translation.
- 3 units down
- 3 units up
- 3 units right
- 3 units left
-
A point (0, 5) lies on y = f(x). Which point lies on y = f(x - 2) + 1?
- (-2, 6)
- (0, 6)
- (2, 6)
- (2, 4)
-
Expressing y = f(3x - 6) as y = f(3(x - 2)) gives what horizontal translation?
- 2 units left
- 6 units left
- 2 units right
- 6 units right
-
y = f(x) has a maximum at (2, 5). What is the maximum point of y = 2f(x) - 1?
- (4, 9)
- (2, 10)
- (2, 4)
- (2, 9)
-
What translation vector maps the graph of y = x^2 onto y = (x - 1)^2 + 4?
- (-1, 4)
- (1, -4)
- (1, 4)
- (-1, -4)
-
What are the asymptotes of y = 2/(x + 1) - 3?
- x = -1 and y = -3
- x = -1 and y = 2
- x = -1 and y = 3
- x = 1 and y = -3
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