Lesson 2.9.1
2.9.1 Transformations of the graph of y = f(x) Quiz: Pearson Edexcel Maths, Unit 2
20 questions
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Lesson 2.9.1, Transformations of the graph of y = f(x): 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 2: Algebra and functions, written with Revision Ninja.
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The 20 questions
-
What transformation does the graph equation y = f(x) + a represent?
- Horizontal stretch
- Horizontal translation
- Vertical translation
- Vertical stretch
-
Which transformation is represented by the graph equation y = f(x + a)?
- Vertical translation
- Horizontal translation
- Vertical stretch
- Reflection in y-axis
-
What is the effect on y = f(x) of the transformation y = -f(x)?
- Horizontal stretch
- Reflection in x-axis
- Reflection in y-axis
- Vertical translation
-
Which axis is y = f(-x) a reflection of y = f(x) across?
- y-axis
- x-axis
- The origin
- Line y = x
-
What scale factor applies to a vertical stretch of y = af(x) for a > 1?
- Scale factor a
- Scale factor -a
- Scale factor 1/a
- Scale factor a squared
-
What scale factor applies to the horizontal stretch of y = f(ax) for a > 1?
- Scale factor a squared
- Scale factor 1/a
- Scale factor -a
- Scale factor a
-
If y = f(x) has a minimum at (3, -2), what is its minimum for y = f(x - 4)?
- (3, -6)
- (7, -2)
- (3, 2)
- (-1, -2)
-
If y = f(x) passes through (2, 5), what point does y = f(x) + 3 pass through?
- (2, 2)
- (2, 8)
- (5, 8)
- (5, 5)
-
If y = f(x) crosses the x-axis at x = 4, where does y = f(2x) cross?
- x = 2
- x = 4
- x = 1
- x = 8
-
If the point (4, 10) lies on y = f(x), what point lies on y = 2f(x)?
- (8, 10)
- (2, 10)
- (4, 20)
- (4, 5)
-
What single transformation maps the graph of y = x^2 to y = (x - 3)^2?
- Rotation
- Stretch
- Translation
- Reflection
-
Which transformation comes first when sketching y = af(x + b)?
- Translation
- Stretch
- Either order
- Reflection
-
If y = f(x) has a maximum at (0, 5), what is the maximum for y = f(-x)?
- (0, -5)
- (5, 0)
- (-5, 0)
- (0, 5)
-
What is the y-intercept of y = f(x) + 4 if y = f(x) has y-intercept 3?
- 1
- 7
- 12
- 3
-
If y = f(x) has a root at x = -5, where is the root of y = f(x + 2)?
- x = 7
- x = -3
- x = -7
- x = 5
-
Which transformation affects the y-intercept of a general function y = f(x)?
- Horizontal stretch
- Vertical shift
- Reflection in y-axis
- Horizontal shift
-
If (2, 6) is on y = f(x), what point is on y = f(-x)?
- (2, -6)
- (-2, -6)
- (-2, 6)
- (6, 2)
-
What transformation does y = f(1/2 x) perform on the graph?
- Horizontal compression
- Vertical compression
- Horizontal stretch
- Vertical stretch
-
If the asymptote of y = f(x) is x = 0, what is the asymptote of y = f(x - 3)?
- y = 3
- x = 3
- x = -3
- x = 0
-
What is the range of y = f(x) + 5 if the range of y = f(x) is [0, 10]?
- [5, 10]
- [5, 15]
- [0, 50]
- [0, 15]
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