Lesson A13
A13 Translations and reflections of functions Quiz: AQA Maths, Unit 2
20 questions
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Lesson A13, Translations and reflections of functions: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.
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The 20 questions
-
(H) Translating y = x^2 by 3 units up gives which equation?
- y = 3x^2
- y = x^2 + 3
- y = x^2 - 3
- y = (x + 3)^2
-
(H) Translating y = x^2 by 2 units to the right gives which equation?
- y = (x + 2)^2
- y = x^2 - 2
- y = (x - 2)^2
- y = x^2 + 2
-
(H) Reflecting y = x^2 + 1 in the x-axis gives which equation?
- y = -x^2 + 1
- y = (-x)^2 - 1
- y = x^2 - 1
- y = -x^2 - 1
-
(H) Reflecting y = 2x + 1 in the y-axis gives which equation?
- y = 2x - 1
- y = -2x - 1
- y = -2x + 1
- y = 2x + 1
-
(H) The point (1, 4) is translated by the vector (2, -3). What are its new coordinates?
- (3, 1)
- (1, 1)
- (3, 7)
- (-1, 7)
-
(H) The point (3, -2) is reflected in the x-axis. What are its new coordinates?
- (-3, -2)
- (3, -2)
- (-3, 2)
- (3, 2)
-
(H) The point (3, -2) is reflected in the y-axis. What are its new coordinates?
- (3, 2)
- (2, -3)
- (-3, 2)
- (-3, -2)
-
(H) The point (4, 1) is reflected in the line y = x. What are its new coordinates?
- (-4, -1)
- (-1, 4)
- (1, 4)
- (4, -1)
-
(H) Describe the translation that takes y = x^2 to y = (x + 4)^2.
- 4 units up
- 4 units down
- 4 units to the right
- 4 units to the left
-
(H) Which transformation takes y = f(x) to y = f(x) + 7?
- A translation 7 units to the right
- A reflection in the x-axis
- A translation 7 units up
- A stretch by scale factor 7
-
(H) A graph y = f(x) is reflected in the y-axis. What is the equation of the new graph?
- y = f(-x)
- y = f(x) + 1
- y = f(x - 1)
- y = -f(x)
-
(H) The point (5, 2) is translated by the vector (-1, 3). What are the new coordinates?
- (6, -1)
- (6, 5)
- (4, -1)
- (4, 5)
-
(H) What are the coordinates of (-2, 6) after reflection in the x-axis?
- (-6, -2)
- (-2, -6)
- (2, -6)
- (2, 6)
-
(H) Which is the equation of y = x^3 after reflection in the x-axis?
- y = -x^3
- y = x^3 - 1
- y = -x^2
- y = (-x)^2
-
(H) Which translation vector takes y = x^2 to y = (x - 3)^2 + 2?
- Vector (-3, 2)
- Vector (2, 3)
- Vector (3, 2)
- Vector (3, -2)
-
(H) The point (1, 3) lies on y = f(x). Which point lies on y = f(x + 2)?
- (1, 5)
- (3, 1)
- (-1, 3)
- (3, -1)
-
(H) The point (1, 1) is reflected in the x-axis then translated up 2 units. What are the new coordinates?
- (1, -3)
- (1, -1)
- (1, 1)
- (-1, 3)
-
(H) What is the equation of y = x^2 reflected in the y-axis and then translated 1 unit up?
- y = -x^2 + 1
- y = (x + 1)^2
- y = x^2 + 1
- y = x^2 - 1
-
(H) Which equation describes y = f(x) translated 5 units to the left?
- y = f(x - 5)
- y = f(x) - 5
- y = f(x) + 5
- y = f(x + 5)
-
(H) What is the vertex of the translated graph y = (x + 2)^2 - 1?
- (-2, -1)
- (-2, 1)
- (2, 1)
- (2, -1)
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