Transforming Graphs y=f(x): Fluency and Exam Drill - Worksheets, Questions and Revision

14 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Graphs

8.2D Transforming Graphs y=f(x): Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 45 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down the equation of the graph obtained by translating the graph y = f(x) up by 3 units.
(Total for Question 1 is 1 mark)
2
Write down the equation of the graph obtained by translating y = f(x) 2 units to the right.
(Total for Question 2 is 1 mark)
3
Write down the equation of the graph obtained by reflecting y = f(x) in the x-axis.
(Total for Question 3 is 1 mark)
4
Write down the equation of the graph obtained by reflecting y = f(x) in the y-axis.
(Total for Question 4 is 1 mark)
5
The point (2, -1) lies on the graph y = f(x). Find the coordinates of the corresponding point on the graph y = f(x) + 4.
(Total for Question 5 is 1 mark)
6
The point (-5, 7) lies on y = f(x). Find the coordinates of the image of this point on the graph y = -f(x+2).
(Total for Question 6 is 2 marks)
7
A point (4, -2) lies on y = f(x). Find the image of this point on the graph y = f(x - 3) - 5.
(Total for Question 7 is 2 marks)
8
The graph of y = g(x) is obtained from y = f(x) by first reflecting in the y-axis and then translating up by 6. Write g(x) in terms of f.
(Total for Question 8 is 1 mark)
9
The graph y = g(x) is defined by g(x) = -f(x) - 3. State the two transformations that map y = f(x) to y = g(x).
(Total for Question 9 is 2 marks)
10
The point (1, 4) lies on y = f(x). Describe the sequence of transformations and find the coordinates of the image of (1, 4) on the graph y = f(-(x - 2)).
(Total for Question 10 is 3 marks)
11
A point (3, -2) lies on y = f(x). Find the image of this point on the graph y = -f(-(x + 1)) + 5. Show your working.
(Total for Question 11 is 3 marks)
12
The graph y = f(x) passes through points (0, 2) and (1, 5).
(a) Find the images of these points on the graph y = f(-x) - 4.
(b) Give both new coordinates.
(a)Find the image of (0, 2) on y = f(-x) - 4.(2)
(b)Find the image of (1, 5) on y = f(-x) - 4.(2)
(Total for Question 12 is 4 marks)
13
Write the equation of the graph obtained by translating y = f(x) left 4 units and then reflecting in the x-axis.
(Total for Question 13 is 1 mark)
14
Let g(x) = f(x + 3). Express h(x) = -g(-x) in terms of f(x).
(Total for Question 14 is 2 marks)
Mark scheme · 8.2D Transforming Graphs y=f(x): Fluency and Exam Drill

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14