Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 8
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write down the vector that translates the graph of onto the graph of .
Question 2
2 marks · Easy
Answer and see the solution →The graph of is shown below.
Estimate the gradient of the curve at the point where by drawing a tangent.
Question 3
2 marks · Easy
Answer and see the solution →The graph of is translated to become the graph of .
Describe the transformation fully.
Question 4
3 marks · Easy
Answer and see the solution →The graph of is transformed to .
(a)[1 mark]Describe the transformation.
(b)[1 mark]Write down the equation of the transformed graph if .
(c)[1 mark]Give the new coordinates of the point (2, 8) on the transformed graph.
Question 5
3 marks · Easy
Answer and see the solution →The table shows part of the data for the function .
Values for y = h(x) x y 0 0 1 2 2 6 3 12 Estimate the gradient of the curve at using the values given.
Question 6
1 mark · Easy
Answer and see the solution →What transformation maps the graph of onto the graph of ?
Question 7
2 marks · Easy
Answer and see the solution →The graph of is stretched parallel to the y-axis by a scale factor of 3.
Write down the equation of the new graph.
Question 8
2 marks · Normal
Answer and see the solution →Find the gradient of the straight line joining the points and .
Question 9
3 marks · Normal
Answer and see the solution →The graph of is shown below.
Graph of \( y = f(x) \) and its translation. Describe fully the transformation that maps the graph of to the graph of .
Question 10
3 marks · Normal
Answer and see the solution →The graph of is reflected in the y-axis and then stretched in the y-direction by a scale factor of 2. Write down the equation of the resulting graph, and describe each transformation algebraically.