EDEXCEL GCSE MATHS · HIGHER
Exam Practice: Transforming trigonometric graphs 1
Transforming trigonometric graphs 1 · More trigonometry · Lesson 8 of 9 · 13 marks · 25 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 FIND (2 marks)
The graph shows y = asin x + b for 0° ≤ x ≤ 360°. Find the values of a and b.
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(Total for Question 1 = 2 marks)
Question 2 SKETCH (3 marks)
On a grid, sketch the graph of y = 3sin x for 0° ≤ x ≤ 360°.
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(Total for Question 2 = 3 marks)
Question 3 WRITE DOWN (2 marks)
Write down the maximum value and the minimum value of y = 2cos x + 1.
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(Total for Question 3 = 2 marks)
Question 4 DESCRIBE (2 marks)
Describe the single transformation that maps the graph of y = sin x onto the graph of y = sin x − 2.
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(Total for Question 4 = 2 marks)
Question 5 DESCRIBE (2 marks)
Describe the single transformation that maps the graph of y = cos x onto the graph of y = −cos x.
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(Total for Question 5 = 2 marks)
Question 6 WRITE DOWN (2 marks)
The graph of y = cos x is transformed to the graph of y = 4cos x. Write down the coordinates of the point where the new graph crosses the y-axis, and its minimum value.
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(Total for Question 6 = 2 marks)
TOTAL FOR PAPER = 13 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (2 marks)
a = 2 and b = 1
• a = 2 B1
• b = 1 B1
Question 2 (3 marks)
A sine curve through (0, 0), (180, 0) and (360, 0) with a maximum of 3 at x = 90 and a minimum of −3 at x = 270.
• Correct shape B1
• Maximum 3 and minimum −3 B1
• Roots correct B1
Question 3 (2 marks)
Maximum 3, minimum −1.
• 3 B1
• −1 B1
Question 4 (2 marks)
A translation of 2 units down, that is by the vector beginpmatrix0 \ −2endpmatrix.
• Translation M1
• 2 down A1
Question 5 (2 marks)
A reflection in the x-axis.
• Reflection M1
• In the x-axis A1
Question 6 (2 marks)
(0, 4); minimum −4.
• (0, 4) B1
• −4 B1